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Finding the Third Proportional to 543,638 and 1,157,260

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Solution

The third proportional to 543,638 and 1,157,260 is: 2,463,497.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,638 : 1,157,260 = 1,157,260 : x
  2. Step 2: Convert to fraction form
    543,638/1,157,260 = 1,157,260/x
  3. Step 3: Cross multiply
    543,638x = 1,157,260 × 1,157,260
  4. Step 4: Simplify right side
    543,638x = 1,339,250,707,600
  5. Step 5: Solve for x
    x = 1,339,250,707,600/543,638
  6. Step 6: Final answer
    x = 2,463,497.23

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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.