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Finding the Third Proportional to 3,419,078 and 5,414,022

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Solution

The third proportional to 3,419,078 and 5,414,022 is: 8,572,964.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419,078 : 5,414,022 = 5,414,022 : x
  2. Step 2: Convert to fraction form
    3,419,078/5,414,022 = 5,414,022/x
  3. Step 3: Cross multiply
    3,419,078x = 5,414,022 × 5,414,022
  4. Step 4: Simplify right side
    3,419,078x = 29,311,634,216,484
  5. Step 5: Solve for x
    x = 29,311,634,216,484/3,419,078
  6. Step 6: Final answer
    x = 8,572,964.47

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.