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Finding the Third Proportional to 1,801,129.50 and 3,901,149

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Solution

The third proportional to 1,801,129.50 and 3,901,149 is: 8,449,677.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801,129.50 : 3,901,149 = 3,901,149 : x
  2. Step 2: Convert to fraction form
    1,801,129.50/3,901,149 = 3,901,149/x
  3. Step 3: Cross multiply
    1,801,129.50x = 3,901,149 × 3,901,149
  4. Step 4: Simplify right side
    1,801,129.50x = 15,218,963,520,201
  5. Step 5: Solve for x
    x = 15,218,963,520,201/1,801,129.50
  6. Step 6: Final answer
    x = 8,449,677.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.