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Finding the Third Proportional to 571,214 and 1,231,694

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Solution

The third proportional to 571,214 and 1,231,694 is: 2,655,869.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,214 : 1,231,694 = 1,231,694 : x
  2. Step 2: Convert to fraction form
    571,214/1,231,694 = 1,231,694/x
  3. Step 3: Cross multiply
    571,214x = 1,231,694 × 1,231,694
  4. Step 4: Simplify right side
    571,214x = 1,517,070,109,636
  5. Step 5: Solve for x
    x = 1,517,070,109,636/571,214
  6. Step 6: Final answer
    x = 2,655,869.97

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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.