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Finding the Third Proportional to 815,801 and 1,761,321

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Solution

The third proportional to 815,801 and 1,761,321 is: 3,802,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,801 : 1,761,321 = 1,761,321 : x
  2. Step 2: Convert to fraction form
    815,801/1,761,321 = 1,761,321/x
  3. Step 3: Cross multiply
    815,801x = 1,761,321 × 1,761,321
  4. Step 4: Simplify right side
    815,801x = 3,102,251,665,041
  5. Step 5: Solve for x
    x = 3,102,251,665,041/815,801
  6. Step 6: Final answer
    x = 3,802,706.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.