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Finding the Third Proportional to 2,198,400 and 4,821,888

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Solution

The third proportional to 2,198,400 and 4,821,888 is: 10,576,148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198,400 : 4,821,888 = 4,821,888 : x
  2. Step 2: Convert to fraction form
    2,198,400/4,821,888 = 4,821,888/x
  3. Step 3: Cross multiply
    2,198,400x = 4,821,888 × 4,821,888
  4. Step 4: Simplify right side
    2,198,400x = 23,250,603,884,544
  5. Step 5: Solve for x
    x = 23,250,603,884,544/2,198,400
  6. Step 6: Final answer
    x = 10,576,148.06

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