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Finding the Third Proportional to 2,081,694 and 4,438,218

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Solution

The third proportional to 2,081,694 and 4,438,218 is: 9,462,379.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081,694 : 4,438,218 = 4,438,218 : x
  2. Step 2: Convert to fraction form
    2,081,694/4,438,218 = 4,438,218/x
  3. Step 3: Cross multiply
    2,081,694x = 4,438,218 × 4,438,218
  4. Step 4: Simplify right side
    2,081,694x = 19,697,779,015,524
  5. Step 5: Solve for x
    x = 19,697,779,015,524/2,081,694
  6. Step 6: Final answer
    x = 9,462,379.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.