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Finding the Third Proportional to 4,256,961 and 6,379,206

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Solution

The third proportional to 4,256,961 and 6,379,206 is: 9,559,464.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256,961 : 6,379,206 = 6,379,206 : x
  2. Step 2: Convert to fraction form
    4,256,961/6,379,206 = 6,379,206/x
  3. Step 3: Cross multiply
    4,256,961x = 6,379,206 × 6,379,206
  4. Step 4: Simplify right side
    4,256,961x = 40,694,269,190,436
  5. Step 5: Solve for x
    x = 40,694,269,190,436/4,256,961
  6. Step 6: Final answer
    x = 9,559,464.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.