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Finding the Third Proportional to 605,867 and 1,274,411

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Solution

The third proportional to 605,867 and 1,274,411 is: 2,680,659.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,867 : 1,274,411 = 1,274,411 : x
  2. Step 2: Convert to fraction form
    605,867/1,274,411 = 1,274,411/x
  3. Step 3: Cross multiply
    605,867x = 1,274,411 × 1,274,411
  4. Step 4: Simplify right side
    605,867x = 1,624,123,396,921
  5. Step 5: Solve for x
    x = 1,624,123,396,921/605,867
  6. Step 6: Final answer
    x = 2,680,659.94

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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.