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Finding the Third Proportional to 791,669 and 1,661,098

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Solution

The third proportional to 791,669 and 1,661,098 is: 3,485,353.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,669 : 1,661,098 = 1,661,098 : x
  2. Step 2: Convert to fraction form
    791,669/1,661,098 = 1,661,098/x
  3. Step 3: Cross multiply
    791,669x = 1,661,098 × 1,661,098
  4. Step 4: Simplify right side
    791,669x = 2,759,246,565,604
  5. Step 5: Solve for x
    x = 2,759,246,565,604/791,669
  6. Step 6: Final answer
    x = 3,485,353.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.