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Finding the Third Proportional to 1,391,013 and 2,965,743

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Solution

The third proportional to 1,391,013 and 2,965,743 is: 6,323,184.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391,013 : 2,965,743 = 2,965,743 : x
  2. Step 2: Convert to fraction form
    1,391,013/2,965,743 = 2,965,743/x
  3. Step 3: Cross multiply
    1,391,013x = 2,965,743 × 2,965,743
  4. Step 4: Simplify right side
    1,391,013x = 8,795,631,542,049
  5. Step 5: Solve for x
    x = 8,795,631,542,049/1,391,013
  6. Step 6: Final answer
    x = 6,323,184.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.