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Finding the Third Proportional to 2,086,713 and 4,397,593

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Solution

The third proportional to 2,086,713 and 4,397,593 is: 9,267,601.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086,713 : 4,397,593 = 4,397,593 : x
  2. Step 2: Convert to fraction form
    2,086,713/4,397,593 = 4,397,593/x
  3. Step 3: Cross multiply
    2,086,713x = 4,397,593 × 4,397,593
  4. Step 4: Simplify right side
    2,086,713x = 19,338,824,193,649
  5. Step 5: Solve for x
    x = 19,338,824,193,649/2,086,713
  6. Step 6: Final answer
    x = 9,267,601.34

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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.