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Finding the Third Proportional to 379,694 and 835,180

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Solution

The third proportional to 379,694 and 835,180 is: 1,837,073.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,694 : 835,180 = 835,180 : x
  2. Step 2: Convert to fraction form
    379,694/835,180 = 835,180/x
  3. Step 3: Cross multiply
    379,694x = 835,180 × 835,180
  4. Step 4: Simplify right side
    379,694x = 697,525,632,400
  5. Step 5: Solve for x
    x = 697,525,632,400/379,694
  6. Step 6: Final answer
    x = 1,837,073.10

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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.