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Finding the Third Proportional to 401,715,887 and 870,468,997

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Solution

The third proportional to 401,715,887 and 870,468,997 is: 1,886,199,424.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,715,887 : 870,468,997 = 870,468,997 : x
  2. Step 2: Convert to fraction form
    401,715,887/870,468,997 = 870,468,997/x
  3. Step 3: Cross multiply
    401,715,887x = 870,468,997 × 870,468,997
  4. Step 4: Simplify right side
    401,715,887x = 757,716,274,738,185,984
  5. Step 5: Solve for x
    x = 757,716,274,738,185,984/401,715,887
  6. Step 6: Final answer
    x = 1,886,199,424.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.