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Finding the Third Proportional to 724,920 and 1,569,309

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Solution

The third proportional to 724,920 and 1,569,309 is: 3,397,244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,920 : 1,569,309 = 1,569,309 : x
  2. Step 2: Convert to fraction form
    724,920/1,569,309 = 1,569,309/x
  3. Step 3: Cross multiply
    724,920x = 1,569,309 × 1,569,309
  4. Step 4: Simplify right side
    724,920x = 2,462,730,737,481
  5. Step 5: Solve for x
    x = 2,462,730,737,481/724,920
  6. Step 6: Final answer
    x = 3,397,244.85

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Why These Related Problems?

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