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Finding the Third Proportional to 2,194,894 and 3,377,939

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Solution

The third proportional to 2,194,894 and 3,377,939 is: 5,198,643.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194,894 : 3,377,939 = 3,377,939 : x
  2. Step 2: Convert to fraction form
    2,194,894/3,377,939 = 3,377,939/x
  3. Step 3: Cross multiply
    2,194,894x = 3,377,939 × 3,377,939
  4. Step 4: Simplify right side
    2,194,894x = 11,410,471,887,721
  5. Step 5: Solve for x
    x = 11,410,471,887,721/2,194,894
  6. Step 6: Final answer
    x = 5,198,643.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.