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Finding the Third Proportional to 2,983,400 and 6,438,544

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Solution

The third proportional to 2,983,400 and 6,438,544 is: 13,895,169.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983,400 : 6,438,544 = 6,438,544 : x
  2. Step 2: Convert to fraction form
    2,983,400/6,438,544 = 6,438,544/x
  3. Step 3: Cross multiply
    2,983,400x = 6,438,544 × 6,438,544
  4. Step 4: Simplify right side
    2,983,400x = 41,454,848,839,936
  5. Step 5: Solve for x
    x = 41,454,848,839,936/2,983,400
  6. Step 6: Final answer
    x = 13,895,169.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.