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Finding the Third Proportional to 809,531.72 and 1,743,654.09

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Solution

The third proportional to 809,531.72 and 1,743,654.09 is: 3,755,664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,531.72 : 1,743,654.09 = 1,743,654.09 : x
  2. Step 2: Convert to fraction form
    809,531.72/1,743,654.09 = 1,743,654.09/x
  3. Step 3: Cross multiply
    809,531.72x = 1,743,654.09 × 1,743,654.09
  4. Step 4: Simplify right side
    809,531.72x = 3,040,329,598,651.13
  5. Step 5: Solve for x
    x = 3,040,329,598,651.13/809,531.72
  6. Step 6: Final answer
    x = 3,755,664.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.