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Finding the Third Proportional to 4,253,660.25 and 6,538,179.75

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Solution

The third proportional to 4,253,660.25 and 6,538,179.75 is: 10,049,649.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253,660.25 : 6,538,179.75 = 6,538,179.75 : x
  2. Step 2: Convert to fraction form
    4,253,660.25/6,538,179.75 = 6,538,179.75/x
  3. Step 3: Cross multiply
    4,253,660.25x = 6,538,179.75 × 6,538,179.75
  4. Step 4: Simplify right side
    4,253,660.25x = 42,747,794,443,310.06
  5. Step 5: Solve for x
    x = 42,747,794,443,310.06/4,253,660.25
  6. Step 6: Final answer
    x = 10,049,649.46

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.