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Finding the Third Proportional to 2,854,198 and 5,988,648

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Solution

The third proportional to 2,854,198 and 5,988,648 is: 12,565,317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854,198 : 5,988,648 = 5,988,648 : x
  2. Step 2: Convert to fraction form
    2,854,198/5,988,648 = 5,988,648/x
  3. Step 3: Cross multiply
    2,854,198x = 5,988,648 × 5,988,648
  4. Step 4: Simplify right side
    2,854,198x = 35,863,904,867,904
  5. Step 5: Solve for x
    x = 35,863,904,867,904/2,854,198
  6. Step 6: Final answer
    x = 12,565,317.78

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.