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Finding the Third Proportional to 724,907 and 1,569,282

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Solution

The third proportional to 724,907 and 1,569,282 is: 3,397,188.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,907 : 1,569,282 = 1,569,282 : x
  2. Step 2: Convert to fraction form
    724,907/1,569,282 = 1,569,282/x
  3. Step 3: Cross multiply
    724,907x = 1,569,282 × 1,569,282
  4. Step 4: Simplify right side
    724,907x = 2,462,645,995,524
  5. Step 5: Solve for x
    x = 2,462,645,995,524/724,907
  6. Step 6: Final answer
    x = 3,397,188.87

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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.