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Finding the Third Proportional to 791,667 and 1,661,094

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Solution

The third proportional to 791,667 and 1,661,094 is: 3,485,345.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,667 : 1,661,094 = 1,661,094 : x
  2. Step 2: Convert to fraction form
    791,667/1,661,094 = 1,661,094/x
  3. Step 3: Cross multiply
    791,667x = 1,661,094 × 1,661,094
  4. Step 4: Simplify right side
    791,667x = 2,759,233,276,836
  5. Step 5: Solve for x
    x = 2,759,233,276,836/791,667
  6. Step 6: Final answer
    x = 3,485,345.83

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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.