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Finding the Third Proportional to 747,761.78 and 1,630,863.41

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Solution

The third proportional to 747,761.78 and 1,630,863.41 is: 3,556,902.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,761.78 : 1,630,863.41 = 1,630,863.41 : x
  2. Step 2: Convert to fraction form
    747,761.78/1,630,863.41 = 1,630,863.41/x
  3. Step 3: Cross multiply
    747,761.78x = 1,630,863.41 × 1,630,863.41
  4. Step 4: Simplify right side
    747,761.78x = 2,659,715,472,142.19
  5. Step 5: Solve for x
    x = 2,659,715,472,142.19/747,761.78
  6. Step 6: Final answer
    x = 3,556,902.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.