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Finding the Third Proportional to 3,691,415.53 and 5,777,556.61

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Solution

The third proportional to 3,691,415.53 and 5,777,556.61 is: 9,042,645.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691,415.53 : 5,777,556.61 = 5,777,556.61 : x
  2. Step 2: Convert to fraction form
    3,691,415.53/5,777,556.61 = 5,777,556.61/x
  3. Step 3: Cross multiply
    3,691,415.53x = 5,777,556.61 × 5,777,556.61
  4. Step 4: Simplify right side
    3,691,415.53x = 33,380,160,374,532.75
  5. Step 5: Solve for x
    x = 33,380,160,374,532.75/3,691,415.53
  6. Step 6: Final answer
    x = 9,042,645.05

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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.