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Finding the Third Proportional to 2,451,168 and 3,661,920

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Solution

The third proportional to 2,451,168 and 3,661,920 is: 5,470,721.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451,168 : 3,661,920 = 3,661,920 : x
  2. Step 2: Convert to fraction form
    2,451,168/3,661,920 = 3,661,920/x
  3. Step 3: Cross multiply
    2,451,168x = 3,661,920 × 3,661,920
  4. Step 4: Simplify right side
    2,451,168x = 13,409,658,086,400
  5. Step 5: Solve for x
    x = 13,409,658,086,400/2,451,168
  6. Step 6: Final answer
    x = 5,470,721.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.