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Finding the Third Proportional to 682,738 and 1,485,864

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Solution

The third proportional to 682,738 and 1,485,864 is: 3,233,732.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,738 : 1,485,864 = 1,485,864 : x
  2. Step 2: Convert to fraction form
    682,738/1,485,864 = 1,485,864/x
  3. Step 3: Cross multiply
    682,738x = 1,485,864 × 1,485,864
  4. Step 4: Simplify right side
    682,738x = 2,207,791,826,496
  5. Step 5: Solve for x
    x = 2,207,791,826,496/682,738
  6. Step 6: Final answer
    x = 3,233,732.16

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