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Finding the Third Proportional to 682,722 and 1,485,831

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Solution

The third proportional to 682,722 and 1,485,831 is: 3,233,664.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,722 : 1,485,831 = 1,485,831 : x
  2. Step 2: Convert to fraction form
    682,722/1,485,831 = 1,485,831/x
  3. Step 3: Cross multiply
    682,722x = 1,485,831 × 1,485,831
  4. Step 4: Simplify right side
    682,722x = 2,207,693,760,561
  5. Step 5: Solve for x
    x = 2,207,693,760,561/682,722
  6. Step 6: Final answer
    x = 3,233,664.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.