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Finding the Third Proportional to 3,741,741 and 6,026,076

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Solution

The third proportional to 3,741,741 and 6,026,076 is: 9,704,998.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741,741 : 6,026,076 = 6,026,076 : x
  2. Step 2: Convert to fraction form
    3,741,741/6,026,076 = 6,026,076/x
  3. Step 3: Cross multiply
    3,741,741x = 6,026,076 × 6,026,076
  4. Step 4: Simplify right side
    3,741,741x = 36,313,591,957,776
  5. Step 5: Solve for x
    x = 36,313,591,957,776/3,741,741
  6. Step 6: Final answer
    x = 9,704,998.81

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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.