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Finding the Third Proportional to 3,691,400.25 and 5,777,533.50

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Solution

The third proportional to 3,691,400.25 and 5,777,533.50 is: 9,042,610.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691,400.25 : 5,777,533.50 = 5,777,533.50 : x
  2. Step 2: Convert to fraction form
    3,691,400.25/5,777,533.50 = 5,777,533.50/x
  3. Step 3: Cross multiply
    3,691,400.25x = 5,777,533.50 × 5,777,533.50
  4. Step 4: Simplify right side
    3,691,400.25x = 33,379,893,343,622.25
  5. Step 5: Solve for x
    x = 33,379,893,343,622.25/3,691,400.25
  6. Step 6: Final answer
    x = 9,042,610.14

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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.