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Finding the Third Proportional to 3,138,729.75 and 4,442,520.94

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Solution

The third proportional to 3,138,729.75 and 4,442,520.94 is: 6,287,891.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138,729.75 : 4,442,520.94 = 4,442,520.94 : x
  2. Step 2: Convert to fraction form
    3,138,729.75/4,442,520.94 = 4,442,520.94/x
  3. Step 3: Cross multiply
    3,138,729.75x = 4,442,520.94 × 4,442,520.94
  4. Step 4: Simplify right side
    3,138,729.75x = 19,735,992,280,125.88
  5. Step 5: Solve for x
    x = 19,735,992,280,125.88/3,138,729.75
  6. Step 6: Final answer
    x = 6,287,891.55

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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.