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Finding the Third Proportional to 383,973 and 853,170

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Solution

The third proportional to 383,973 and 853,170 is: 1,895,703.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,973 : 853,170 = 853,170 : x
  2. Step 2: Convert to fraction form
    383,973/853,170 = 853,170/x
  3. Step 3: Cross multiply
    383,973x = 853,170 × 853,170
  4. Step 4: Simplify right side
    383,973x = 727,899,048,900
  5. Step 5: Solve for x
    x = 727,899,048,900/383,973
  6. Step 6: Final answer
    x = 1,895,703.73

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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.