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Finding the Third Proportional to 3,891,046.50 and 5,542,867.50

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Solution

The third proportional to 3,891,046.50 and 5,542,867.50 is: 7,895,916.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891,046.50 : 5,542,867.50 = 5,542,867.50 : x
  2. Step 2: Convert to fraction form
    3,891,046.50/5,542,867.50 = 5,542,867.50/x
  3. Step 3: Cross multiply
    3,891,046.50x = 5,542,867.50 × 5,542,867.50
  4. Step 4: Simplify right side
    3,891,046.50x = 30,723,380,122,556.25
  5. Step 5: Solve for x
    x = 30,723,380,122,556.25/3,891,046.50
  6. Step 6: Final answer
    x = 7,895,916.98

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.