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Finding the Third Proportional to 709,882 and 1,539,542

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Solution

The third proportional to 709,882 and 1,539,542 is: 3,338,850.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,882 : 1,539,542 = 1,539,542 : x
  2. Step 2: Convert to fraction form
    709,882/1,539,542 = 1,539,542/x
  3. Step 3: Cross multiply
    709,882x = 1,539,542 × 1,539,542
  4. Step 4: Simplify right side
    709,882x = 2,370,189,569,764
  5. Step 5: Solve for x
    x = 2,370,189,569,764/709,882
  6. Step 6: Final answer
    x = 3,338,850.08

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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.