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Finding the Third Proportional to 752,143.13 and 1,165,122.75

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Solution

The third proportional to 752,143.13 and 1,165,122.75 is: 1,804,857.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,143.13 : 1,165,122.75 = 1,165,122.75 : x
  2. Step 2: Convert to fraction form
    752,143.13/1,165,122.75 = 1,165,122.75/x
  3. Step 3: Cross multiply
    752,143.13x = 1,165,122.75 × 1,165,122.75
  4. Step 4: Simplify right side
    752,143.13x = 1,357,511,022,567.56
  5. Step 5: Solve for x
    x = 1,357,511,022,567.56/752,143.13
  6. Step 6: Final answer
    x = 1,804,857.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.