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Finding the Third Proportional to 1,469,755.13 and 2,309,608.69

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Solution

The third proportional to 1,469,755.13 and 2,309,608.69 is: 3,629,374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469,755.13 : 2,309,608.69 = 2,309,608.69 : x
  2. Step 2: Convert to fraction form
    1,469,755.13/2,309,608.69 = 2,309,608.69/x
  3. Step 3: Cross multiply
    1,469,755.13x = 2,309,608.69 × 2,309,608.69
  4. Step 4: Simplify right side
    1,469,755.13x = 5,334,292,289,375.47
  5. Step 5: Solve for x
    x = 5,334,292,289,375.47/1,469,755.13
  6. Step 6: Final answer
    x = 3,629,374.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.