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Finding the Third Proportional to 791,874 and 1,274,967

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Solution

The third proportional to 791,874 and 1,274,967 is: 2,052,777.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,874 : 1,274,967 = 1,274,967 : x
  2. Step 2: Convert to fraction form
    791,874/1,274,967 = 1,274,967/x
  3. Step 3: Cross multiply
    791,874x = 1,274,967 × 1,274,967
  4. Step 4: Simplify right side
    791,874x = 1,625,540,851,089
  5. Step 5: Solve for x
    x = 1,625,540,851,089/791,874
  6. Step 6: Final answer
    x = 2,052,777.15

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.