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Finding the Third Proportional to 539,592 and 1,165,638

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Solution

The third proportional to 539,592 and 1,165,638 is: 2,518,035.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,592 : 1,165,638 = 1,165,638 : x
  2. Step 2: Convert to fraction form
    539,592/1,165,638 = 1,165,638/x
  3. Step 3: Cross multiply
    539,592x = 1,165,638 × 1,165,638
  4. Step 4: Simplify right side
    539,592x = 1,358,711,947,044
  5. Step 5: Solve for x
    x = 1,358,711,947,044/539,592
  6. Step 6: Final answer
    x = 2,518,035.75

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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.