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Finding the Third Proportional to 383,778 and 836,244

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Solution

The third proportional to 383,778 and 836,244 is: 1,822,157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,778 : 836,244 = 836,244 : x
  2. Step 2: Convert to fraction form
    383,778/836,244 = 836,244/x
  3. Step 3: Cross multiply
    383,778x = 836,244 × 836,244
  4. Step 4: Simplify right side
    383,778x = 699,304,027,536
  5. Step 5: Solve for x
    x = 699,304,027,536/383,778
  6. Step 6: Final answer
    x = 1,822,157.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.