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Finding the Third Proportional to 1,469,806 and 3,149,563

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Solution

The third proportional to 1,469,806 and 3,149,563 is: 6,749,017.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469,806 : 3,149,563 = 3,149,563 : x
  2. Step 2: Convert to fraction form
    1,469,806/3,149,563 = 3,149,563/x
  3. Step 3: Cross multiply
    1,469,806x = 3,149,563 × 3,149,563
  4. Step 4: Simplify right side
    1,469,806x = 9,919,747,090,969
  5. Step 5: Solve for x
    x = 9,919,747,090,969/1,469,806
  6. Step 6: Final answer
    x = 6,749,017.96

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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.