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Finding the Third Proportional to 616,272 and 1,324,524

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Solution

The third proportional to 616,272 and 1,324,524 is: 2,846,736.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,272 : 1,324,524 = 1,324,524 : x
  2. Step 2: Convert to fraction form
    616,272/1,324,524 = 1,324,524/x
  3. Step 3: Cross multiply
    616,272x = 1,324,524 × 1,324,524
  4. Step 4: Simplify right side
    616,272x = 1,754,363,826,576
  5. Step 5: Solve for x
    x = 1,754,363,826,576/616,272
  6. Step 6: Final answer
    x = 2,846,736.22

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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.