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Finding the Third Proportional to 393,932 and 866,592

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Solution

The third proportional to 393,932 and 866,592 is: 1,906,373.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,932 : 866,592 = 866,592 : x
  2. Step 2: Convert to fraction form
    393,932/866,592 = 866,592/x
  3. Step 3: Cross multiply
    393,932x = 866,592 × 866,592
  4. Step 4: Simplify right side
    393,932x = 750,981,694,464
  5. Step 5: Solve for x
    x = 750,981,694,464/393,932
  6. Step 6: Final answer
    x = 1,906,373.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.