Convert marathon to pica

Learn how to convert 1 marathon to pica step by step.

Calculation Breakdown

Set up the equation

1.0 (m a r a t h o n) = x (p i c a)

Define the base values of the selected units in relation to the SI unit

(m e t e r)

Left side: 1.0 (m a r a t h o n) = 3.675 \times 10^{4} (m e t e r) = 3.675 \times 10^{4} (m)

Right side: 1.0 (p i c a) = 4.21751764217518 \times 10^{- 3} (m e t e r) = 4.21751764217518 \times 10^{- 3} (m)

Insert known values into the conversion equation to determine

x

1.0 (m a r a t h o n) = x (p i c a)

Insert known values =>

1.0 \times 3.675 \times 10^{4} \times (m e t e r) = x \times 4.21751764217518 \times 10^{- 3} \times (m e t e r)

Or

1.0 \cdot 3.675 \times 10^{4} \cdot (m) = x \cdot 4.21751764217518 \times 10^{- 3} \cdot (m)

Cancel SI units

1.0 \times 3.675 \times 10^{4} \cdot (m) = x \times 4.21751764217518 \times 10^{- 3} \times (m)

Conversion Equation

3.675 \times 10^{4} = x \times 4.21751764217518 \times 10^{- 3}

Switch sides

x \times 4.21751764217518 \times 10^{- 3} = 3.675 \times 10^{4}

Isolate

x

Multiply both sides by

(\frac{1.0}{4.21751764217518 \times 10^{- 3}})

x \times 4.21751764217518 \times 10^{- 3} \times \frac{1.0}{4.21751764217518 \times 10^{- 3}} = 3.675 \times 10^{4} \times \frac{1.0}{4.21751764217518 \times 10^{- 3}}

Cancel

x \times 4.21751764217518 \times 10^{- 3} \times \frac{1.0}{4.21751764217518 \times 10^{- 3}} = 3.675 \times 10^{4} \times \frac{1.0}{4.21751764217518 \times 10^{- 3}}

Simplify

x = \frac{3.675 \times 10^{4}}{4.21751764217518 \times 10^{- 3}}

Rewrite equation

\frac{1.0}{10^{- 3}} can be rewritten to 10^{3}

Rewrite

x = \frac{10^{3} \times 3.675 \times 10^{4}}{4.21751764217518}

Simplify

x = \frac{10^{7} \times 3.675}{4.21751764217518}

Solve

x

x \approx 8713656.4961 \approx 8.7137 \times 10^{6}

Conversion Equation

1.0 (m a r a t h o n) \approx 8.7137 \times 10^{6} (p i c a)

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