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Finding the Third Proportional to 657,963 and 964,132

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Solution

The third proportional to 657,963 and 964,132 is: 1,412,770.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,963 : 964,132 = 964,132 : x
  2. Step 2: Convert to fraction form
    657,963/964,132 = 964,132/x
  3. Step 3: Cross multiply
    657,963x = 964,132 × 964,132
  4. Step 4: Simplify right side
    657,963x = 929,550,513,424
  5. Step 5: Solve for x
    x = 929,550,513,424/657,963
  6. Step 6: Final answer
    x = 1,412,770.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.