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Finding the Third Proportional to 416,018 and 851,749

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Solution

The third proportional to 416,018 and 851,749 is: 1,743,858.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,018 : 851,749 = 851,749 : x
  2. Step 2: Convert to fraction form
    416,018/851,749 = 851,749/x
  3. Step 3: Cross multiply
    416,018x = 851,749 × 851,749
  4. Step 4: Simplify right side
    416,018x = 725,476,359,001
  5. Step 5: Solve for x
    x = 725,476,359,001/416,018
  6. Step 6: Final answer
    x = 1,743,858.10

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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.