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Finding the Third Proportional to 1,032,995 and 2,231,974

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Solution

The third proportional to 1,032,995 and 2,231,974 is: 4,822,586.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,995 : 2,231,974 = 2,231,974 : x
  2. Step 2: Convert to fraction form
    1,032,995/2,231,974 = 2,231,974/x
  3. Step 3: Cross multiply
    1,032,995x = 2,231,974 × 2,231,974
  4. Step 4: Simplify right side
    1,032,995x = 4,981,707,936,676
  5. Step 5: Solve for x
    x = 4,981,707,936,676/1,032,995
  6. Step 6: Final answer
    x = 4,822,586.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.