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Finding the Third Proportional to 2,024,768 and 2,848,092

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Solution

The third proportional to 2,024,768 and 2,848,092 is: 4,006,201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024,768 : 2,848,092 = 2,848,092 : x
  2. Step 2: Convert to fraction form
    2,024,768/2,848,092 = 2,848,092/x
  3. Step 3: Cross multiply
    2,024,768x = 2,848,092 × 2,848,092
  4. Step 4: Simplify right side
    2,024,768x = 8,111,628,040,464
  5. Step 5: Solve for x
    x = 8,111,628,040,464/2,024,768
  6. Step 6: Final answer
    x = 4,006,201.22

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.