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Finding the Third Proportional to 1,071,872 and 2,231,949

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Solution

The third proportional to 1,071,872 and 2,231,949 is: 4,647,566.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,872 : 2,231,949 = 2,231,949 : x
  2. Step 2: Convert to fraction form
    1,071,872/2,231,949 = 2,231,949/x
  3. Step 3: Cross multiply
    1,071,872x = 2,231,949 × 2,231,949
  4. Step 4: Simplify right side
    1,071,872x = 4,981,596,338,601
  5. Step 5: Solve for x
    x = 4,981,596,338,601/1,071,872
  6. Step 6: Final answer
    x = 4,647,566.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.