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Finding the Third Proportional to 2,069,760 and 4,524,288

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Solution

The third proportional to 2,069,760 and 4,524,288 is: 9,889,640.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069,760 : 4,524,288 = 4,524,288 : x
  2. Step 2: Convert to fraction form
    2,069,760/4,524,288 = 4,524,288/x
  3. Step 3: Cross multiply
    2,069,760x = 4,524,288 × 4,524,288
  4. Step 4: Simplify right side
    2,069,760x = 20,469,181,906,944
  5. Step 5: Solve for x
    x = 20,469,181,906,944/2,069,760
  6. Step 6: Final answer
    x = 9,889,640.30

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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.