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Finding the Third Proportional to 2,016,434 and 4,430,414

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Solution

The third proportional to 2,016,434 and 4,430,414 is: 9,734,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016,434 : 4,430,414 = 4,430,414 : x
  2. Step 2: Convert to fraction form
    2,016,434/4,430,414 = 4,430,414/x
  3. Step 3: Cross multiply
    2,016,434x = 4,430,414 × 4,430,414
  4. Step 4: Simplify right side
    2,016,434x = 19,628,568,211,396
  5. Step 5: Solve for x
    x = 19,628,568,211,396/2,016,434
  6. Step 6: Final answer
    x = 9,734,297.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.