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Finding the Third Proportional to 791,114 and 1,171,874

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Solution

The third proportional to 791,114 and 1,171,874 is: 1,735,892.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,114 : 1,171,874 = 1,171,874 : x
  2. Step 2: Convert to fraction form
    791,114/1,171,874 = 1,171,874/x
  3. Step 3: Cross multiply
    791,114x = 1,171,874 × 1,171,874
  4. Step 4: Simplify right side
    791,114x = 1,373,288,671,876
  5. Step 5: Solve for x
    x = 1,373,288,671,876/791,114
  6. Step 6: Final answer
    x = 1,735,892.26

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.