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Finding the Third Proportional to 3,000,320 and 6,469,744

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Solution

The third proportional to 3,000,320 and 6,469,744 is: 13,951,041.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000,320 : 6,469,744 = 6,469,744 : x
  2. Step 2: Convert to fraction form
    3,000,320/6,469,744 = 6,469,744/x
  3. Step 3: Cross multiply
    3,000,320x = 6,469,744 × 6,469,744
  4. Step 4: Simplify right side
    3,000,320x = 41,857,587,425,536
  5. Step 5: Solve for x
    x = 41,857,587,425,536/3,000,320
  6. Step 6: Final answer
    x = 13,951,041.03

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.