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Finding the Third Proportional to 1,438,016 and 2,289,275

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Solution

The third proportional to 1,438,016 and 2,289,275 is: 3,644,451.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438,016 : 2,289,275 = 2,289,275 : x
  2. Step 2: Convert to fraction form
    1,438,016/2,289,275 = 2,289,275/x
  3. Step 3: Cross multiply
    1,438,016x = 2,289,275 × 2,289,275
  4. Step 4: Simplify right side
    1,438,016x = 5,240,780,025,625
  5. Step 5: Solve for x
    x = 5,240,780,025,625/1,438,016
  6. Step 6: Final answer
    x = 3,644,451.82

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.