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Finding the Third Proportional to 752,305,806 and 1,161,998,325

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Solution

The third proportional to 752,305,806 and 1,161,998,325 is: 1,794,802,188.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,305,806 : 1,161,998,325 = 1,161,998,325 : x
  2. Step 2: Convert to fraction form
    752,305,806/1,161,998,325 = 1,161,998,325/x
  3. Step 3: Cross multiply
    752,305,806x = 1,161,998,325 × 1,161,998,325
  4. Step 4: Simplify right side
    752,305,806x = 1,350,240,107,302,805,504
  5. Step 5: Solve for x
    x = 1,350,240,107,302,805,504/752,305,806
  6. Step 6: Final answer
    x = 1,794,802,188.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.