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Finding the Third Proportional to 1,965,631 and 4,204,517

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Solution

The third proportional to 1,965,631 and 4,204,517 is: 8,993,530.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,631 : 4,204,517 = 4,204,517 : x
  2. Step 2: Convert to fraction form
    1,965,631/4,204,517 = 4,204,517/x
  3. Step 3: Cross multiply
    1,965,631x = 4,204,517 × 4,204,517
  4. Step 4: Simplify right side
    1,965,631x = 17,677,963,203,289
  5. Step 5: Solve for x
    x = 17,677,963,203,289/1,965,631
  6. Step 6: Final answer
    x = 8,993,530.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.