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Finding the Third Proportional to 453,638 and 976,612

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Solution

The third proportional to 453,638 and 976,612 is: 2,102,493.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,638 : 976,612 = 976,612 : x
  2. Step 2: Convert to fraction form
    453,638/976,612 = 976,612/x
  3. Step 3: Cross multiply
    453,638x = 976,612 × 976,612
  4. Step 4: Simplify right side
    453,638x = 953,770,998,544
  5. Step 5: Solve for x
    x = 953,770,998,544/453,638
  6. Step 6: Final answer
    x = 2,102,493.62

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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.