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Finding the Third Proportional to 379,686 and 835,164

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Solution

The third proportional to 379,686 and 835,164 is: 1,837,041.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,686 : 835,164 = 835,164 : x
  2. Step 2: Convert to fraction form
    379,686/835,164 = 835,164/x
  3. Step 3: Cross multiply
    379,686x = 835,164 × 835,164
  4. Step 4: Simplify right side
    379,686x = 697,498,906,896
  5. Step 5: Solve for x
    x = 697,498,906,896/379,686
  6. Step 6: Final answer
    x = 1,837,041.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.