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Finding the Third Proportional to 416,040 and 851,796

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Solution

The third proportional to 416,040 and 851,796 is: 1,743,958.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,040 : 851,796 = 851,796 : x
  2. Step 2: Convert to fraction form
    416,040/851,796 = 851,796/x
  3. Step 3: Cross multiply
    416,040x = 851,796 × 851,796
  4. Step 4: Simplify right side
    416,040x = 725,556,425,616
  5. Step 5: Solve for x
    x = 725,556,425,616/416,040
  6. Step 6: Final answer
    x = 1,743,958.33

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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.