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Finding the Third Proportional to 431,162 and 906,972

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Solution

The third proportional to 431,162 and 906,972 is: 1,907,863.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,162 : 906,972 = 906,972 : x
  2. Step 2: Convert to fraction form
    431,162/906,972 = 906,972/x
  3. Step 3: Cross multiply
    431,162x = 906,972 × 906,972
  4. Step 4: Simplify right side
    431,162x = 822,598,208,784
  5. Step 5: Solve for x
    x = 822,598,208,784/431,162
  6. Step 6: Final answer
    x = 1,907,863.42

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.