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Finding the Third Proportional to 4,256,965 and 6,379,212

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Solution

The third proportional to 4,256,965 and 6,379,212 is: 9,559,473.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256,965 : 6,379,212 = 6,379,212 : x
  2. Step 2: Convert to fraction form
    4,256,965/6,379,212 = 6,379,212/x
  3. Step 3: Cross multiply
    4,256,965x = 6,379,212 × 6,379,212
  4. Step 4: Simplify right side
    4,256,965x = 40,694,345,740,944
  5. Step 5: Solve for x
    x = 40,694,345,740,944/4,256,965
  6. Step 6: Final answer
    x = 9,559,473.88

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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.