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Finding the Third Proportional to 431,586 and 1,008,048

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Solution

The third proportional to 431,586 and 1,008,048 is: 2,354,480.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,586 : 1,008,048 = 1,008,048 : x
  2. Step 2: Convert to fraction form
    431,586/1,008,048 = 1,008,048/x
  3. Step 3: Cross multiply
    431,586x = 1,008,048 × 1,008,048
  4. Step 4: Simplify right side
    431,586x = 1,016,160,770,304
  5. Step 5: Solve for x
    x = 1,016,160,770,304/431,586
  6. Step 6: Final answer
    x = 2,354,480.38

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.