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Finding the Third Proportional to 682,767 and 1,485,891

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Solution

The third proportional to 682,767 and 1,485,891 is: 3,233,712.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,767 : 1,485,891 = 1,485,891 : x
  2. Step 2: Convert to fraction form
    682,767/1,485,891 = 1,485,891/x
  3. Step 3: Cross multiply
    682,767x = 1,485,891 × 1,485,891
  4. Step 4: Simplify right side
    682,767x = 2,207,872,063,881
  5. Step 5: Solve for x
    x = 2,207,872,063,881/682,767
  6. Step 6: Final answer
    x = 3,233,712.33

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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.