Gravitationally Equivalent Point Particle

There are two objects with the same mass MM, situated on the xx-axis.

One is a thin rod with its mass uniformly distributed between x=0x = 0 and x=1x = 1.

The other is a point particle at x=2x = 2.

If we wanted to replace the rod with a point particle of mass MM which would exert the same gravitational force on the point particle at x=2x = 2, what should its xx-coordinate be (to 3 decimal places)?

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