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Finding the Third Proportional to 2,644,768 and 5,729,024

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Solution

The third proportional to 2,644,768 and 5,729,024 is: 12,410,054.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644,768 : 5,729,024 = 5,729,024 : x
  2. Step 2: Convert to fraction form
    2,644,768/5,729,024 = 5,729,024/x
  3. Step 3: Cross multiply
    2,644,768x = 5,729,024 × 5,729,024
  4. Step 4: Simplify right side
    2,644,768x = 32,821,715,992,576
  5. Step 5: Solve for x
    x = 32,821,715,992,576/2,644,768
  6. Step 6: Final answer
    x = 12,410,054.87

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.