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Finding the Third Proportional to 2,086,717 and 4,397,601

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Solution

The third proportional to 2,086,717 and 4,397,601 is: 9,267,617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086,717 : 4,397,601 = 4,397,601 : x
  2. Step 2: Convert to fraction form
    2,086,717/4,397,601 = 4,397,601/x
  3. Step 3: Cross multiply
    2,086,717x = 4,397,601 × 4,397,601
  4. Step 4: Simplify right side
    2,086,717x = 19,338,894,555,201
  5. Step 5: Solve for x
    x = 19,338,894,555,201/2,086,717
  6. Step 6: Final answer
    x = 9,267,617.29

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Why These Related Problems?

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