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Finding the Third Proportional to 391,236 and 857,193

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Solution

The third proportional to 391,236 and 857,193 is: 1,878,098.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,236 : 857,193 = 857,193 : x
  2. Step 2: Convert to fraction form
    391,236/857,193 = 857,193/x
  3. Step 3: Cross multiply
    391,236x = 857,193 × 857,193
  4. Step 4: Simplify right side
    391,236x = 734,779,839,249
  5. Step 5: Solve for x
    x = 734,779,839,249/391,236
  6. Step 6: Final answer
    x = 1,878,098.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.