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Finding the Third Proportional to 1,581,198 and 3,477,268

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Solution

The third proportional to 1,581,198 and 3,477,268 is: 7,646,982.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581,198 : 3,477,268 = 3,477,268 : x
  2. Step 2: Convert to fraction form
    1,581,198/3,477,268 = 3,477,268/x
  3. Step 3: Cross multiply
    1,581,198x = 3,477,268 × 3,477,268
  4. Step 4: Simplify right side
    1,581,198x = 12,091,392,743,824
  5. Step 5: Solve for x
    x = 12,091,392,743,824/1,581,198
  6. Step 6: Final answer
    x = 7,646,982.06

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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.