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Finding the Third Proportional to 2,183,921 and 4,647,916

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Solution

The third proportional to 2,183,921 and 4,647,916 is: 9,891,897.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183,921 : 4,647,916 = 4,647,916 : x
  2. Step 2: Convert to fraction form
    2,183,921/4,647,916 = 4,647,916/x
  3. Step 3: Cross multiply
    2,183,921x = 4,647,916 × 4,647,916
  4. Step 4: Simplify right side
    2,183,921x = 21,603,123,143,056
  5. Step 5: Solve for x
    x = 21,603,123,143,056/2,183,921
  6. Step 6: Final answer
    x = 9,891,897.71

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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.