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Finding the Third Proportional to 419,874 and 906,054

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Solution

The third proportional to 419,874 and 906,054 is: 1,955,190.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,874 : 906,054 = 906,054 : x
  2. Step 2: Convert to fraction form
    419,874/906,054 = 906,054/x
  3. Step 3: Cross multiply
    419,874x = 906,054 × 906,054
  4. Step 4: Simplify right side
    419,874x = 820,933,850,916
  5. Step 5: Solve for x
    x = 820,933,850,916/419,874
  6. Step 6: Final answer
    x = 1,955,190.96

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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.