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Finding the Third Proportional to 4,308,761 and 6,379,941

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Solution

The third proportional to 4,308,761 and 6,379,941 is: 9,446,717.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308,761 : 6,379,941 = 6,379,941 : x
  2. Step 2: Convert to fraction form
    4,308,761/6,379,941 = 6,379,941/x
  3. Step 3: Cross multiply
    4,308,761x = 6,379,941 × 6,379,941
  4. Step 4: Simplify right side
    4,308,761x = 40,703,647,163,481
  5. Step 5: Solve for x
    x = 40,703,647,163,481/4,308,761
  6. Step 6: Final answer
    x = 9,446,717.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.