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Finding the Third Proportional to 543,630 and 1,157,244

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Solution

The third proportional to 543,630 and 1,157,244 is: 2,463,465.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,630 : 1,157,244 = 1,157,244 : x
  2. Step 2: Convert to fraction form
    543,630/1,157,244 = 1,157,244/x
  3. Step 3: Cross multiply
    543,630x = 1,157,244 × 1,157,244
  4. Step 4: Simplify right side
    543,630x = 1,339,213,675,536
  5. Step 5: Solve for x
    x = 1,339,213,675,536/543,630
  6. Step 6: Final answer
    x = 2,463,465.36

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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.