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Finding the Third Proportional to 795,340 and 1,204,593

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Solution

The third proportional to 795,340 and 1,204,593 is: 1,824,432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    795,340 : 1,204,593 = 1,204,593 : x
  2. Step 2: Convert to fraction form
    795,340/1,204,593 = 1,204,593/x
  3. Step 3: Cross multiply
    795,340x = 1,204,593 × 1,204,593
  4. Step 4: Simplify right side
    795,340x = 1,451,044,295,649
  5. Step 5: Solve for x
    x = 1,451,044,295,649/795,340
  6. Step 6: Final answer
    x = 1,824,432.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.