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Finding the Third Proportional to 797,294 and 1,231,193

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Solution

The third proportional to 797,294 and 1,231,193 is: 1,901,226.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,294 : 1,231,193 = 1,231,193 : x
  2. Step 2: Convert to fraction form
    797,294/1,231,193 = 1,231,193/x
  3. Step 3: Cross multiply
    797,294x = 1,231,193 × 1,231,193
  4. Step 4: Simplify right side
    797,294x = 1,515,836,203,249
  5. Step 5: Solve for x
    x = 1,515,836,203,249/797,294
  6. Step 6: Final answer
    x = 1,901,226.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.