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Finding the Third Proportional to 2,074,992 and 4,396,218

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Solution

The third proportional to 2,074,992 and 4,396,218 is: 9,314,123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074,992 : 4,396,218 = 4,396,218 : x
  2. Step 2: Convert to fraction form
    2,074,992/4,396,218 = 4,396,218/x
  3. Step 3: Cross multiply
    2,074,992x = 4,396,218 × 4,396,218
  4. Step 4: Simplify right side
    2,074,992x = 19,326,732,703,524
  5. Step 5: Solve for x
    x = 19,326,732,703,524/2,074,992
  6. Step 6: Final answer
    x = 9,314,123.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.