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Finding the Third Proportional to 527,540 and 1,135,009

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Solution

The third proportional to 527,540 and 1,135,009 is: 2,441,986.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,540 : 1,135,009 = 1,135,009 : x
  2. Step 2: Convert to fraction form
    527,540/1,135,009 = 1,135,009/x
  3. Step 3: Cross multiply
    527,540x = 1,135,009 × 1,135,009
  4. Step 4: Simplify right side
    527,540x = 1,288,245,430,081
  5. Step 5: Solve for x
    x = 1,288,245,430,081/527,540
  6. Step 6: Final answer
    x = 2,441,986.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.