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Finding the Third Proportional to 724,909 and 1,569,286

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Solution

The third proportional to 724,909 and 1,569,286 is: 3,397,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,909 : 1,569,286 = 1,569,286 : x
  2. Step 2: Convert to fraction form
    724,909/1,569,286 = 1,569,286/x
  3. Step 3: Cross multiply
    724,909x = 1,569,286 × 1,569,286
  4. Step 4: Simplify right side
    724,909x = 2,462,658,549,796
  5. Step 5: Solve for x
    x = 2,462,658,549,796/724,909
  6. Step 6: Final answer
    x = 3,397,196.82

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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.