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Finding the Third Proportional to 3,691,409.20 and 5,777,549.02

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Solution

The third proportional to 3,691,409.20 and 5,777,549.02 is: 9,042,636.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691,409.20 : 5,777,549.02 = 5,777,549.02 : x
  2. Step 2: Convert to fraction form
    3,691,409.20/5,777,549.02 = 5,777,549.02/x
  3. Step 3: Cross multiply
    3,691,409.20x = 5,777,549.02 × 5,777,549.02
  4. Step 4: Simplify right side
    3,691,409.20x = 33,380,072,627,949.41
  5. Step 5: Solve for x
    x = 33,380,072,627,949.41/3,691,409.20
  6. Step 6: Final answer
    x = 9,042,636.78

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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.