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Finding the Third Proportional to 1,244,400 and 2,729,856

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Solution

The third proportional to 1,244,400 and 2,729,856 is: 5,988,519.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244,400 : 2,729,856 = 2,729,856 : x
  2. Step 2: Convert to fraction form
    1,244,400/2,729,856 = 2,729,856/x
  3. Step 3: Cross multiply
    1,244,400x = 2,729,856 × 2,729,856
  4. Step 4: Simplify right side
    1,244,400x = 7,452,113,780,736
  5. Step 5: Solve for x
    x = 7,452,113,780,736/1,244,400
  6. Step 6: Final answer
    x = 5,988,519.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.