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Finding the Third Proportional to 431,686 and 915,974

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Solution

The third proportional to 431,686 and 915,974 is: 1,943,561.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,686 : 915,974 = 915,974 : x
  2. Step 2: Convert to fraction form
    431,686/915,974 = 915,974/x
  3. Step 3: Cross multiply
    431,686x = 915,974 × 915,974
  4. Step 4: Simplify right side
    431,686x = 839,008,368,676
  5. Step 5: Solve for x
    x = 839,008,368,676/431,686
  6. Step 6: Final answer
    x = 1,943,561.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.