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Finding the Third Proportional to 752,016 and 1,151,856

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Solution

The third proportional to 752,016 and 1,151,856 is: 1,764,287.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,016 : 1,151,856 = 1,151,856 : x
  2. Step 2: Convert to fraction form
    752,016/1,151,856 = 1,151,856/x
  3. Step 3: Cross multiply
    752,016x = 1,151,856 × 1,151,856
  4. Step 4: Simplify right side
    752,016x = 1,326,772,244,736
  5. Step 5: Solve for x
    x = 1,326,772,244,736/752,016
  6. Step 6: Final answer
    x = 1,764,287.26

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.