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Finding the Third Proportional to 724,874 and 1,569,214

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Solution

The third proportional to 724,874 and 1,569,214 is: 3,397,049.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,874 : 1,569,214 = 1,569,214 : x
  2. Step 2: Convert to fraction form
    724,874/1,569,214 = 1,569,214/x
  3. Step 3: Cross multiply
    724,874x = 1,569,214 × 1,569,214
  4. Step 4: Simplify right side
    724,874x = 2,462,432,577,796
  5. Step 5: Solve for x
    x = 2,462,432,577,796/724,874
  6. Step 6: Final answer
    x = 3,397,049.11

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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.