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Finding the Third Proportional to 804,577 and 1,215,067

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Solution

The third proportional to 804,577 and 1,215,067 is: 1,834,986.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,577 : 1,215,067 = 1,215,067 : x
  2. Step 2: Convert to fraction form
    804,577/1,215,067 = 1,215,067/x
  3. Step 3: Cross multiply
    804,577x = 1,215,067 × 1,215,067
  4. Step 4: Simplify right side
    804,577x = 1,476,387,814,489
  5. Step 5: Solve for x
    x = 1,476,387,814,489/804,577
  6. Step 6: Final answer
    x = 1,834,986.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.