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Finding the Third Proportional to 814,380 and 1,754,979

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Solution

The third proportional to 814,380 and 1,754,979 is: 3,781,958.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,380 : 1,754,979 = 1,754,979 : x
  2. Step 2: Convert to fraction form
    814,380/1,754,979 = 1,754,979/x
  3. Step 3: Cross multiply
    814,380x = 1,754,979 × 1,754,979
  4. Step 4: Simplify right side
    814,380x = 3,079,951,290,441
  5. Step 5: Solve for x
    x = 3,079,951,290,441/814,380
  6. Step 6: Final answer
    x = 3,781,958.41

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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.