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Finding the Third Proportional to 3,209,544 and 6,994,512

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Solution

The third proportional to 3,209,544 and 6,994,512 is: 15,243,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209,544 : 6,994,512 = 6,994,512 : x
  2. Step 2: Convert to fraction form
    3,209,544/6,994,512 = 6,994,512/x
  3. Step 3: Cross multiply
    3,209,544x = 6,994,512 × 6,994,512
  4. Step 4: Simplify right side
    3,209,544x = 48,923,198,118,144
  5. Step 5: Solve for x
    x = 48,923,198,118,144/3,209,544
  6. Step 6: Final answer
    x = 15,243,037.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.