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Finding the Third Proportional to 3,691,399.50 and 5,777,534.25

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Solution

The third proportional to 3,691,399.50 and 5,777,534.25 is: 9,042,614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691,399.50 : 5,777,534.25 = 5,777,534.25 : x
  2. Step 2: Convert to fraction form
    3,691,399.50/5,777,534.25 = 5,777,534.25/x
  3. Step 3: Cross multiply
    3,691,399.50x = 5,777,534.25 × 5,777,534.25
  4. Step 4: Simplify right side
    3,691,399.50x = 33,379,902,009,923.06
  5. Step 5: Solve for x
    x = 33,379,902,009,923.06/3,691,399.50
  6. Step 6: Final answer
    x = 9,042,614.33

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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.