Convert marathon to light-second

Learn how to convert 1 marathon to light-second step by step.

Calculation Breakdown

Set up the equation

1.0 (m a r a t h o n) = x (l i g h t - s e c o n d)

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 (l i g h t - s e c o n d) = 299792458.0 (m e t e r) = 299792458.0 (m)

Insert known values into the conversion equation to determine

x

1.0 (m a r a t h o n) = x (l i g h t - s e c o n d)

Insert known values =>

1.0 \times 3.675 \times 10^{4} \times (m e t e r) = x \times 299792458.0 \times (m e t e r)

Or

1.0 \cdot 3.675 \times 10^{4} \cdot (m) = x \cdot 299792458.0 \cdot (m)

Cancel SI units

1.0 \times 3.675 \times 10^{4} \cdot (m) = x \times 299792458.0 \times (m)

Conversion Equation

3.675 \times 10^{4} = x \times 299792458.0

Switch sides

x \times 299792458.0 = 3.675 \times 10^{4}

Isolate

x

Multiply both sides by

(\frac{1.0}{299792458.0})

x \times 299792458.0 \times \frac{1.0}{299792458.0} = 3.675 \times 10^{4} \times \frac{1.0}{299792458.0}

Cancel

x \times 299792458.0 \times \frac{1.0}{299792458.0} = 3.675 \times 10^{4} \times \frac{1.0}{299792458.0}

Simplify

x = \frac{3.675 \times 10^{4}}{299792458.0}

Solve

x

x \approx 0.0001225848 \approx 1.2258 \times 10^{- 4}

Conversion Equation

1.0 (m a r a t h o n) \approx 1.2258 \times 10^{- 4} (l i g h t - s e c o n d)

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