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Finding the Third Proportional to 680,572 and 953,691

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Solution

The third proportional to 680,572 and 953,691 is: 1,336,414.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,572 : 953,691 = 953,691 : x
  2. Step 2: Convert to fraction form
    680,572/953,691 = 953,691/x
  3. Step 3: Cross multiply
    680,572x = 953,691 × 953,691
  4. Step 4: Simplify right side
    680,572x = 909,526,523,481
  5. Step 5: Solve for x
    x = 909,526,523,481/680,572
  6. Step 6: Final answer
    x = 1,336,414.84

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.