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Finding the Third Proportional to 1,299,161 and 2,040,839

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Solution

The third proportional to 1,299,161 and 2,040,839 is: 3,205,933.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,161 : 2,040,839 = 2,040,839 : x
  2. Step 2: Convert to fraction form
    1,299,161/2,040,839 = 2,040,839/x
  3. Step 3: Cross multiply
    1,299,161x = 2,040,839 × 2,040,839
  4. Step 4: Simplify right side
    1,299,161x = 4,165,023,823,921
  5. Step 5: Solve for x
    x = 4,165,023,823,921/1,299,161
  6. Step 6: Final answer
    x = 3,205,933.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.