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Finding the Third Proportional to 543,540.38 and 1,157,247

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Solution

The third proportional to 543,540.38 and 1,157,247 is: 2,463,884.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,540.38 : 1,157,247 = 1,157,247 : x
  2. Step 2: Convert to fraction form
    543,540.38/1,157,247 = 1,157,247/x
  3. Step 3: Cross multiply
    543,540.38x = 1,157,247 × 1,157,247
  4. Step 4: Simplify right side
    543,540.38x = 1,339,220,619,009
  5. Step 5: Solve for x
    x = 1,339,220,619,009/543,540.38
  6. Step 6: Final answer
    x = 2,463,884.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.