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Finding the Third Proportional to 811,876 and 1,743,458

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Solution

The third proportional to 811,876 and 1,743,458 is: 3,743,977.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,876 : 1,743,458 = 1,743,458 : x
  2. Step 2: Convert to fraction form
    811,876/1,743,458 = 1,743,458/x
  3. Step 3: Cross multiply
    811,876x = 1,743,458 × 1,743,458
  4. Step 4: Simplify right side
    811,876x = 3,039,645,797,764
  5. Step 5: Solve for x
    x = 3,039,645,797,764/811,876
  6. Step 6: Final answer
    x = 3,743,977.90

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.