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Finding the Third Proportional to 791,184 and 1,743,720

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Solution

The third proportional to 791,184 and 1,743,720 is: 3,843,049.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,184 : 1,743,720 = 1,743,720 : x
  2. Step 2: Convert to fraction form
    791,184/1,743,720 = 1,743,720/x
  3. Step 3: Cross multiply
    791,184x = 1,743,720 × 1,743,720
  4. Step 4: Simplify right side
    791,184x = 3,040,559,438,400
  5. Step 5: Solve for x
    x = 3,040,559,438,400/791,184
  6. Step 6: Final answer
    x = 3,843,049.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.