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Finding the Third Proportional to 682,769 and 1,485,895

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Solution

The third proportional to 682,769 and 1,485,895 is: 3,233,720.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,769 : 1,485,895 = 1,485,895 : x
  2. Step 2: Convert to fraction form
    682,769/1,485,895 = 1,485,895/x
  3. Step 3: Cross multiply
    682,769x = 1,485,895 × 1,485,895
  4. Step 4: Simplify right side
    682,769x = 2,207,883,951,025
  5. Step 5: Solve for x
    x = 2,207,883,951,025/682,769
  6. Step 6: Final answer
    x = 3,233,720.26

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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.