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The Schwarzschild radius is proportional to the mass with a proportionality constant involving the gravitational constant and the speed of light. The formula for the Schwarzschild radius can be found by setting the escape velocity to the speed of light.

Where

rs is the Schwarzschild radius,
G is the gravitational constant,
m is the mass of the gravitating object, and
c is the speed of light.

The proportionality constant, 2G / c2, is approximately 1.48×10-27 m/kg, or 2.95 km/solar mass.

Note that although the result is correct, general relativity must be used to properly derive the Schwarzschild radius. It is only a coincidence that Newtonian physics produces the same result.

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