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Finding the Third Proportional to 520,137 and 1,135,530

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Solution

The third proportional to 520,137 and 1,135,530 is: 2,479,016.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,137 : 1,135,530 = 1,135,530 : x
  2. Step 2: Convert to fraction form
    520,137/1,135,530 = 1,135,530/x
  3. Step 3: Cross multiply
    520,137x = 1,135,530 × 1,135,530
  4. Step 4: Simplify right side
    520,137x = 1,289,428,380,900
  5. Step 5: Solve for x
    x = 1,289,428,380,900/520,137
  6. Step 6: Final answer
    x = 2,479,016.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.