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Finding the Third Proportional to 465,972.75 and 1,122,265.13

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Solution

The third proportional to 465,972.75 and 1,122,265.13 is: 2,702,902.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,972.75 : 1,122,265.13 = 1,122,265.13 : x
  2. Step 2: Convert to fraction form
    465,972.75/1,122,265.13 = 1,122,265.13/x
  3. Step 3: Cross multiply
    465,972.75x = 1,122,265.13 × 1,122,265.13
  4. Step 4: Simplify right side
    465,972.75x = 1,259,479,010,791.27
  5. Step 5: Solve for x
    x = 1,259,479,010,791.27/465,972.75
  6. Step 6: Final answer
    x = 2,702,902.71

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.