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Finding the Third Proportional to 616,980 and 932,031

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Solution

The third proportional to 616,980 and 932,031 is: 1,407,957.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,980 : 932,031 = 932,031 : x
  2. Step 2: Convert to fraction form
    616,980/932,031 = 932,031/x
  3. Step 3: Cross multiply
    616,980x = 932,031 × 932,031
  4. Step 4: Simplify right side
    616,980x = 868,681,784,961
  5. Step 5: Solve for x
    x = 868,681,784,961/616,980
  6. Step 6: Final answer
    x = 1,407,957.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.