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Finding the Third Proportional to 1,682,944 and 3,622,496

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Solution

The third proportional to 1,682,944 and 3,622,496 is: 7,797,334.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,944 : 3,622,496 = 3,622,496 : x
  2. Step 2: Convert to fraction form
    1,682,944/3,622,496 = 3,622,496/x
  3. Step 3: Cross multiply
    1,682,944x = 3,622,496 × 3,622,496
  4. Step 4: Simplify right side
    1,682,944x = 13,122,477,270,016
  5. Step 5: Solve for x
    x = 13,122,477,270,016/1,682,944
  6. Step 6: Final answer
    x = 7,797,334.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.