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Finding the Third Proportional to 815,005 and 1,770,017

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Solution

The third proportional to 815,005 and 1,770,017 is: 3,844,099.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,005 : 1,770,017 = 1,770,017 : x
  2. Step 2: Convert to fraction form
    815,005/1,770,017 = 1,770,017/x
  3. Step 3: Cross multiply
    815,005x = 1,770,017 × 1,770,017
  4. Step 4: Simplify right side
    815,005x = 3,132,960,180,289
  5. Step 5: Solve for x
    x = 3,132,960,180,289/815,005
  6. Step 6: Final answer
    x = 3,844,099.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.