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Finding the Third Proportional to 527,299 and 1,137,542

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Solution

The third proportional to 527,299 and 1,137,542 is: 2,454,019.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,299 : 1,137,542 = 1,137,542 : x
  2. Step 2: Convert to fraction form
    527,299/1,137,542 = 1,137,542/x
  3. Step 3: Cross multiply
    527,299x = 1,137,542 × 1,137,542
  4. Step 4: Simplify right side
    527,299x = 1,294,001,801,764
  5. Step 5: Solve for x
    x = 1,294,001,801,764/527,299
  6. Step 6: Final answer
    x = 2,454,019.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.