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Finding the Third Proportional to 649,834 and 1,449,084

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Solution

The third proportional to 649,834 and 1,449,084 is: 3,231,355.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,834 : 1,449,084 = 1,449,084 : x
  2. Step 2: Convert to fraction form
    649,834/1,449,084 = 1,449,084/x
  3. Step 3: Cross multiply
    649,834x = 1,449,084 × 1,449,084
  4. Step 4: Simplify right side
    649,834x = 2,099,844,439,056
  5. Step 5: Solve for x
    x = 2,099,844,439,056/649,834
  6. Step 6: Final answer
    x = 3,231,355.14

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.