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Finding the Third Proportional to 2,086,721 and 4,397,609

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Solution

The third proportional to 2,086,721 and 4,397,609 is: 9,267,633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086,721 : 4,397,609 = 4,397,609 : x
  2. Step 2: Convert to fraction form
    2,086,721/4,397,609 = 4,397,609/x
  3. Step 3: Cross multiply
    2,086,721x = 4,397,609 × 4,397,609
  4. Step 4: Simplify right side
    2,086,721x = 19,338,964,916,881
  5. Step 5: Solve for x
    x = 19,338,964,916,881/2,086,721
  6. Step 6: Final answer
    x = 9,267,633.25

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.