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Finding the Third Proportional to 804,950 and 1,660,932

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Solution

The third proportional to 804,950 and 1,660,932 is: 3,427,163.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,950 : 1,660,932 = 1,660,932 : x
  2. Step 2: Convert to fraction form
    804,950/1,660,932 = 1,660,932/x
  3. Step 3: Cross multiply
    804,950x = 1,660,932 × 1,660,932
  4. Step 4: Simplify right side
    804,950x = 2,758,695,108,624
  5. Step 5: Solve for x
    x = 2,758,695,108,624/804,950
  6. Step 6: Final answer
    x = 3,427,163.31

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.