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Finding the Third Proportional to 682,067 and 1,066,841

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Solution

The third proportional to 682,067 and 1,066,841 is: 1,668,677.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,067 : 1,066,841 = 1,066,841 : x
  2. Step 2: Convert to fraction form
    682,067/1,066,841 = 1,066,841/x
  3. Step 3: Cross multiply
    682,067x = 1,066,841 × 1,066,841
  4. Step 4: Simplify right side
    682,067x = 1,138,149,719,281
  5. Step 5: Solve for x
    x = 1,138,149,719,281/682,067
  6. Step 6: Final answer
    x = 1,668,677.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.