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Finding the Third Proportional to 724,924 and 1,569,317

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Solution

The third proportional to 724,924 and 1,569,317 is: 3,397,260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,924 : 1,569,317 = 1,569,317 : x
  2. Step 2: Convert to fraction form
    724,924/1,569,317 = 1,569,317/x
  3. Step 3: Cross multiply
    724,924x = 1,569,317 × 1,569,317
  4. Step 4: Simplify right side
    724,924x = 2,462,755,846,489
  5. Step 5: Solve for x
    x = 2,462,755,846,489/724,924
  6. Step 6: Final answer
    x = 3,397,260.74

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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.