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Finding the Third Proportional to 649,842 and 1,449,099

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Solution

The third proportional to 649,842 and 1,449,099 is: 3,231,382.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,842 : 1,449,099 = 1,449,099 : x
  2. Step 2: Convert to fraction form
    649,842/1,449,099 = 1,449,099/x
  3. Step 3: Cross multiply
    649,842x = 1,449,099 × 1,449,099
  4. Step 4: Simplify right side
    649,842x = 2,099,887,911,801
  5. Step 5: Solve for x
    x = 2,099,887,911,801/649,842
  6. Step 6: Final answer
    x = 3,231,382.26

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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.