Suppose that three astronomical objects

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Homework Statement


Suppose that three astronomical objects (1, 2, and 3) are observed to lie on a line, and that the distance from object 1 to object 3 is D. Given that object 1 has 1.5 times the mass of object 3 and seven times the mass of object 2, find the distance (in terms of D) between objects 1 and 2 for which the net force on object 2 is zero.
____ D m


Homework Equations


F = (G x m1 x m2) / r^2


The Attempt at a Solution


I drew a diagram of this, and had no luck figuring out what to do next.
 


Does this help?
 
Attachments
  • Handwritten sketch of three masses M1, M2 and M3 on a line, with distance D from M1 to M3 and x from M1 to M2, showing gravitational forces F12 and F23, followed by derivation equating forces with mass ratios.
    masses081.jpg
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