On the way to the moon, the Apollo astro- nauts reach a point where the Moon’s gravi- tational pull is stronger than that of Earth’s. Find the…

On the way to the moon, the Apollo astro- nauts reach a point where the Moon’s gravi- tational pull is stronger than that of Earth’s.

Find the distance of this point from the center of the Earth. The masses of the Earth and the Moon are 5.98 × 1024 kg and 7.36 × 1022 kg, respectively, and the distance from the Earth to the Moon is 3.84 × 108 m.

Answer in units of m.