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Finding the Third Proportional to 1,324,815 and 2,101,215

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Solution

The third proportional to 1,324,815 and 2,101,215 is: 3,332,619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324,815 : 2,101,215 = 2,101,215 : x
  2. Step 2: Convert to fraction form
    1,324,815/2,101,215 = 2,101,215/x
  3. Step 3: Cross multiply
    1,324,815x = 2,101,215 × 2,101,215
  4. Step 4: Simplify right side
    1,324,815x = 4,415,104,476,225
  5. Step 5: Solve for x
    x = 4,415,104,476,225/1,324,815
  6. Step 6: Final answer
    x = 3,332,619.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.