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Finding the Third Proportional to 682,720 and 1,485,796

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Solution

The third proportional to 682,720 and 1,485,796 is: 3,233,521.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,720 : 1,485,796 = 1,485,796 : x
  2. Step 2: Convert to fraction form
    682,720/1,485,796 = 1,485,796/x
  3. Step 3: Cross multiply
    682,720x = 1,485,796 × 1,485,796
  4. Step 4: Simplify right side
    682,720x = 2,207,589,753,616
  5. Step 5: Solve for x
    x = 2,207,589,753,616/682,720
  6. Step 6: Final answer
    x = 3,233,521.43

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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.