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Finding the Third Proportional to 1,614,227.48 and 3,543,342.47

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Solution

The third proportional to 1,614,227.48 and 3,543,342.47 is: 7,777,885.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614,227.48 : 3,543,342.47 = 3,543,342.47 : x
  2. Step 2: Convert to fraction form
    1,614,227.48/3,543,342.47 = 3,543,342.47/x
  3. Step 3: Cross multiply
    1,614,227.48x = 3,543,342.47 × 3,543,342.47
  4. Step 4: Simplify right side
    1,614,227.48x = 12,555,275,850,847.34
  5. Step 5: Solve for x
    x = 12,555,275,850,847.34/1,614,227.48
  6. Step 6: Final answer
    x = 7,777,885.07

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.