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Finding the Third Proportional to 814,977 and 1,770,525

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Solution

The third proportional to 814,977 and 1,770,525 is: 3,846,438.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,977 : 1,770,525 = 1,770,525 : x
  2. Step 2: Convert to fraction form
    814,977/1,770,525 = 1,770,525/x
  3. Step 3: Cross multiply
    814,977x = 1,770,525 × 1,770,525
  4. Step 4: Simplify right side
    814,977x = 3,134,758,775,625
  5. Step 5: Solve for x
    x = 3,134,758,775,625/814,977
  6. Step 6: Final answer
    x = 3,846,438.34

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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.