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Finding the Third Proportional to 733,859 and 1,612,424

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Solution

The third proportional to 733,859 and 1,612,424 is: 3,542,793.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,859 : 1,612,424 = 1,612,424 : x
  2. Step 2: Convert to fraction form
    733,859/1,612,424 = 1,612,424/x
  3. Step 3: Cross multiply
    733,859x = 1,612,424 × 1,612,424
  4. Step 4: Simplify right side
    733,859x = 2,599,911,155,776
  5. Step 5: Solve for x
    x = 2,599,911,155,776/733,859
  6. Step 6: Final answer
    x = 3,542,793.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.