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Finding the Third Proportional to 724,913 and 1,569,292

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Solution

The third proportional to 724,913 and 1,569,292 is: 3,397,204.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,913 : 1,569,292 = 1,569,292 : x
  2. Step 2: Convert to fraction form
    724,913/1,569,292 = 1,569,292/x
  3. Step 3: Cross multiply
    724,913x = 1,569,292 × 1,569,292
  4. Step 4: Simplify right side
    724,913x = 2,462,677,381,264
  5. Step 5: Solve for x
    x = 2,462,677,381,264/724,913
  6. Step 6: Final answer
    x = 3,397,204.05

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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.