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Finding the Third Proportional to 675,892 and 1,046,193

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Solution

The third proportional to 675,892 and 1,046,193 is: 1,619,370.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,892 : 1,046,193 = 1,046,193 : x
  2. Step 2: Convert to fraction form
    675,892/1,046,193 = 1,046,193/x
  3. Step 3: Cross multiply
    675,892x = 1,046,193 × 1,046,193
  4. Step 4: Simplify right side
    675,892x = 1,094,519,793,249
  5. Step 5: Solve for x
    x = 1,094,519,793,249/675,892
  6. Step 6: Final answer
    x = 1,619,370.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.