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Finding the Third Proportional to 1,469,864 and 3,149,668

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Solution

The third proportional to 1,469,864 and 3,149,668 is: 6,749,201.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469,864 : 3,149,668 = 3,149,668 : x
  2. Step 2: Convert to fraction form
    1,469,864/3,149,668 = 3,149,668/x
  3. Step 3: Cross multiply
    1,469,864x = 3,149,668 × 3,149,668
  4. Step 4: Simplify right side
    1,469,864x = 9,920,408,510,224
  5. Step 5: Solve for x
    x = 9,920,408,510,224/1,469,864
  6. Step 6: Final answer
    x = 6,749,201.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.