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Finding the Third Proportional to 3,421,980 and 5,297,994

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Solution

The third proportional to 3,421,980 and 5,297,994 is: 8,202,485.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421,980 : 5,297,994 = 5,297,994 : x
  2. Step 2: Convert to fraction form
    3,421,980/5,297,994 = 5,297,994/x
  3. Step 3: Cross multiply
    3,421,980x = 5,297,994 × 5,297,994
  4. Step 4: Simplify right side
    3,421,980x = 28,068,740,424,036
  5. Step 5: Solve for x
    x = 28,068,740,424,036/3,421,980
  6. Step 6: Final answer
    x = 8,202,485.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.