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Finding the Third Proportional to 827,642.81 and 1,123,366.22

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Solution

The third proportional to 827,642.81 and 1,123,366.22 is: 1,524,753.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,642.81 : 1,123,366.22 = 1,123,366.22 : x
  2. Step 2: Convert to fraction form
    827,642.81/1,123,366.22 = 1,123,366.22/x
  3. Step 3: Cross multiply
    827,642.81x = 1,123,366.22 × 1,123,366.22
  4. Step 4: Simplify right side
    827,642.81x = 1,261,951,661,428.67
  5. Step 5: Solve for x
    x = 1,261,951,661,428.67/827,642.81
  6. Step 6: Final answer
    x = 1,524,753.97

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.