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Finding the Third Proportional to 389,082 and 836,286

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Solution

The third proportional to 389,082 and 836,286 is: 1,797,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,082 : 836,286 = 836,286 : x
  2. Step 2: Convert to fraction form
    389,082/836,286 = 836,286/x
  3. Step 3: Cross multiply
    389,082x = 836,286 × 836,286
  4. Step 4: Simplify right side
    389,082x = 699,374,273,796
  5. Step 5: Solve for x
    x = 699,374,273,796/389,082
  6. Step 6: Final answer
    x = 1,797,498.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.