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Finding the Third Proportional to 524,086 and 791,110

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Solution

The third proportional to 524,086 and 791,110 is: 1,194,183.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,086 : 791,110 = 791,110 : x
  2. Step 2: Convert to fraction form
    524,086/791,110 = 791,110/x
  3. Step 3: Cross multiply
    524,086x = 791,110 × 791,110
  4. Step 4: Simplify right side
    524,086x = 625,855,032,100
  5. Step 5: Solve for x
    x = 625,855,032,100/524,086
  6. Step 6: Final answer
    x = 1,194,183.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.