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Finding the Third Proportional to 564,082.31 and 1,234,747.13

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Solution

The third proportional to 564,082.31 and 1,234,747.13 is: 2,702,797.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,082.31 : 1,234,747.13 = 1,234,747.13 : x
  2. Step 2: Convert to fraction form
    564,082.31/1,234,747.13 = 1,234,747.13/x
  3. Step 3: Cross multiply
    564,082.31x = 1,234,747.13 × 1,234,747.13
  4. Step 4: Simplify right side
    564,082.31x = 1,524,600,462,695.77
  5. Step 5: Solve for x
    x = 1,524,600,462,695.77/564,082.31
  6. Step 6: Final answer
    x = 2,702,797.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.