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Finding the Third Proportional to 616,286 and 1,324,552

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Solution

The third proportional to 616,286 and 1,324,552 is: 2,846,791.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,286 : 1,324,552 = 1,324,552 : x
  2. Step 2: Convert to fraction form
    616,286/1,324,552 = 1,324,552/x
  3. Step 3: Cross multiply
    616,286x = 1,324,552 × 1,324,552
  4. Step 4: Simplify right side
    616,286x = 1,754,438,000,704
  5. Step 5: Solve for x
    x = 1,754,438,000,704/616,286
  6. Step 6: Final answer
    x = 2,846,791.91

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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.