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Finding the Third Proportional to 2,086,716 and 4,397,583

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Solution

The third proportional to 2,086,716 and 4,397,583 is: 9,267,545.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086,716 : 4,397,583 = 4,397,583 : x
  2. Step 2: Convert to fraction form
    2,086,716/4,397,583 = 4,397,583/x
  3. Step 3: Cross multiply
    2,086,716x = 4,397,583 × 4,397,583
  4. Step 4: Simplify right side
    2,086,716x = 19,338,736,241,889
  5. Step 5: Solve for x
    x = 19,338,736,241,889/2,086,716
  6. Step 6: Final answer
    x = 9,267,545.87

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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.