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Finding the Third Proportional to 3,916,265.25 and 5,986,959.75

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Solution

The third proportional to 3,916,265.25 and 5,986,959.75 is: 9,152,517.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916,265.25 : 5,986,959.75 = 5,986,959.75 : x
  2. Step 2: Convert to fraction form
    3,916,265.25/5,986,959.75 = 5,986,959.75/x
  3. Step 3: Cross multiply
    3,916,265.25x = 5,986,959.75 × 5,986,959.75
  4. Step 4: Simplify right side
    3,916,265.25x = 35,843,687,048,120.06
  5. Step 5: Solve for x
    x = 35,843,687,048,120.06/3,916,265.25
  6. Step 6: Final answer
    x = 9,152,517.71

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Why These Related Problems?

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