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Finding the Third Proportional to 383,975 and 853,174

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Solution

The third proportional to 383,975 and 853,174 is: 1,895,711.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,975 : 853,174 = 853,174 : x
  2. Step 2: Convert to fraction form
    383,975/853,174 = 853,174/x
  3. Step 3: Cross multiply
    383,975x = 853,174 × 853,174
  4. Step 4: Simplify right side
    383,975x = 727,905,874,276
  5. Step 5: Solve for x
    x = 727,905,874,276/383,975
  6. Step 6: Final answer
    x = 1,895,711.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.