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Finding the Third Proportional to 543,636 and 1,157,256

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Solution

The third proportional to 543,636 and 1,157,256 is: 2,463,489.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,636 : 1,157,256 = 1,157,256 : x
  2. Step 2: Convert to fraction form
    543,636/1,157,256 = 1,157,256/x
  3. Step 3: Cross multiply
    543,636x = 1,157,256 × 1,157,256
  4. Step 4: Simplify right side
    543,636x = 1,339,241,449,536
  5. Step 5: Solve for x
    x = 1,339,241,449,536/543,636
  6. Step 6: Final answer
    x = 2,463,489.26

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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.