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Finding the Third Proportional to 729,091.13 and 1,091,176.31

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Solution

The third proportional to 729,091.13 and 1,091,176.31 is: 1,633,082.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,091.13 : 1,091,176.31 = 1,091,176.31 : x
  2. Step 2: Convert to fraction form
    729,091.13/1,091,176.31 = 1,091,176.31/x
  3. Step 3: Cross multiply
    729,091.13x = 1,091,176.31 × 1,091,176.31
  4. Step 4: Simplify right side
    729,091.13x = 1,190,665,744,961.10
  5. Step 5: Solve for x
    x = 1,190,665,744,961.10/729,091.13
  6. Step 6: Final answer
    x = 1,633,082.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.