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Finding the Third Proportional to 1,178,471 and 1,801,949

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Solution

The third proportional to 1,178,471 and 1,801,949 is: 2,755,282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,471 : 1,801,949 = 1,801,949 : x
  2. Step 2: Convert to fraction form
    1,178,471/1,801,949 = 1,801,949/x
  3. Step 3: Cross multiply
    1,178,471x = 1,801,949 × 1,801,949
  4. Step 4: Simplify right side
    1,178,471x = 3,247,020,198,601
  5. Step 5: Solve for x
    x = 3,247,020,198,601/1,178,471
  6. Step 6: Final answer
    x = 2,755,282.22

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.