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Finding the Third Proportional to 388,085 and 835,189

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Solution

The third proportional to 388,085 and 835,189 is: 1,797,391.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,085 : 835,189 = 835,189 : x
  2. Step 2: Convert to fraction form
    388,085/835,189 = 835,189/x
  3. Step 3: Cross multiply
    388,085x = 835,189 × 835,189
  4. Step 4: Simplify right side
    388,085x = 697,540,665,721
  5. Step 5: Solve for x
    x = 697,540,665,721/388,085
  6. Step 6: Final answer
    x = 1,797,391.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.