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Finding the Third Proportional to 681,600 and 1,433,711

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Solution

The third proportional to 681,600 and 1,433,711 is: 3,015,738.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,600 : 1,433,711 = 1,433,711 : x
  2. Step 2: Convert to fraction form
    681,600/1,433,711 = 1,433,711/x
  3. Step 3: Cross multiply
    681,600x = 1,433,711 × 1,433,711
  4. Step 4: Simplify right side
    681,600x = 2,055,527,231,521
  5. Step 5: Solve for x
    x = 2,055,527,231,521/681,600
  6. Step 6: Final answer
    x = 3,015,738.31

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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.