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Finding the Third Proportional to 2,086,770 and 4,397,694

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Solution

The third proportional to 2,086,770 and 4,397,694 is: 9,267,773.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086,770 : 4,397,694 = 4,397,694 : x
  2. Step 2: Convert to fraction form
    2,086,770/4,397,694 = 4,397,694/x
  3. Step 3: Cross multiply
    2,086,770x = 4,397,694 × 4,397,694
  4. Step 4: Simplify right side
    2,086,770x = 19,339,712,517,636
  5. Step 5: Solve for x
    x = 19,339,712,517,636/2,086,770
  6. Step 6: Final answer
    x = 9,267,773.89

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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.