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Finding the Third Proportional to 416,021 and 851,755

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Solution

The third proportional to 416,021 and 851,755 is: 1,743,870.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,021 : 851,755 = 851,755 : x
  2. Step 2: Convert to fraction form
    416,021/851,755 = 851,755/x
  3. Step 3: Cross multiply
    416,021x = 851,755 × 851,755
  4. Step 4: Simplify right side
    416,021x = 725,486,580,025
  5. Step 5: Solve for x
    x = 725,486,580,025/416,021
  6. Step 6: Final answer
    x = 1,743,870.09

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.