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Finding the Third Proportional to 721,414 and 1,567,244

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Solution

The third proportional to 721,414 and 1,567,244 is: 3,404,776.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,414 : 1,567,244 = 1,567,244 : x
  2. Step 2: Convert to fraction form
    721,414/1,567,244 = 1,567,244/x
  3. Step 3: Cross multiply
    721,414x = 1,567,244 × 1,567,244
  4. Step 4: Simplify right side
    721,414x = 2,456,253,755,536
  5. Step 5: Solve for x
    x = 2,456,253,755,536/721,414
  6. Step 6: Final answer
    x = 3,404,776.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.