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Finding the Third Proportional to 752,032 and 1,165,012

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Solution

The third proportional to 752,032 and 1,165,012 is: 1,804,780.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,032 : 1,165,012 = 1,165,012 : x
  2. Step 2: Convert to fraction form
    752,032/1,165,012 = 1,165,012/x
  3. Step 3: Cross multiply
    752,032x = 1,165,012 × 1,165,012
  4. Step 4: Simplify right side
    752,032x = 1,357,252,960,144
  5. Step 5: Solve for x
    x = 1,357,252,960,144/752,032
  6. Step 6: Final answer
    x = 1,804,780.86

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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.