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Finding the Third Proportional to 4,191,972.75 and 5,932,845

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Solution

The third proportional to 4,191,972.75 and 5,932,845 is: 8,396,679.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191,972.75 : 5,932,845 = 5,932,845 : x
  2. Step 2: Convert to fraction form
    4,191,972.75/5,932,845 = 5,932,845/x
  3. Step 3: Cross multiply
    4,191,972.75x = 5,932,845 × 5,932,845
  4. Step 4: Simplify right side
    4,191,972.75x = 35,198,649,794,025
  5. Step 5: Solve for x
    x = 35,198,649,794,025/4,191,972.75
  6. Step 6: Final answer
    x = 8,396,679.06

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Why These Related Problems?

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