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Finding the Third Proportional to 2,040,078 and 4,467,013

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Solution

The third proportional to 2,040,078 and 4,467,013 is: 9,781,099.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040,078 : 4,467,013 = 4,467,013 : x
  2. Step 2: Convert to fraction form
    2,040,078/4,467,013 = 4,467,013/x
  3. Step 3: Cross multiply
    2,040,078x = 4,467,013 × 4,467,013
  4. Step 4: Simplify right side
    2,040,078x = 19,954,205,142,169
  5. Step 5: Solve for x
    x = 19,954,205,142,169/2,040,078
  6. Step 6: Final answer
    x = 9,781,099.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.