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Finding the Third Proportional to 3,741,888 and 6,026,256

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Solution

The third proportional to 3,741,888 and 6,026,256 is: 9,705,197.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741,888 : 6,026,256 = 6,026,256 : x
  2. Step 2: Convert to fraction form
    3,741,888/6,026,256 = 6,026,256/x
  3. Step 3: Cross multiply
    3,741,888x = 6,026,256 × 6,026,256
  4. Step 4: Simplify right side
    3,741,888x = 36,315,761,377,536
  5. Step 5: Solve for x
    x = 36,315,761,377,536/3,741,888
  6. Step 6: Final answer
    x = 9,705,197.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.