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Finding the Third Proportional to 752,284.97 and 1,142,796.09

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Solution

The third proportional to 752,284.97 and 1,142,796.09 is: 1,736,021.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,284.97 : 1,142,796.09 = 1,142,796.09 : x
  2. Step 2: Convert to fraction form
    752,284.97/1,142,796.09 = 1,142,796.09/x
  3. Step 3: Cross multiply
    752,284.97x = 1,142,796.09 × 1,142,796.09
  4. Step 4: Simplify right side
    752,284.97x = 1,305,982,911,890.26
  5. Step 5: Solve for x
    x = 1,305,982,911,890.26/752,284.97
  6. Step 6: Final answer
    x = 1,736,021.54

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.