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Finding the Third Proportional to 2,198,406 and 4,821,900

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Solution

The third proportional to 2,198,406 and 4,821,900 is: 10,576,171.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198,406 : 4,821,900 = 4,821,900 : x
  2. Step 2: Convert to fraction form
    2,198,406/4,821,900 = 4,821,900/x
  3. Step 3: Cross multiply
    2,198,406x = 4,821,900 × 4,821,900
  4. Step 4: Simplify right side
    2,198,406x = 23,250,719,610,000
  5. Step 5: Solve for x
    x = 23,250,719,610,000/2,198,406
  6. Step 6: Final answer
    x = 10,576,171.83

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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.