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Finding the Third Proportional to 3,741,796 and 6,026,166

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Solution

The third proportional to 3,741,796 and 6,026,166 is: 9,705,146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741,796 : 6,026,166 = 6,026,166 : x
  2. Step 2: Convert to fraction form
    3,741,796/6,026,166 = 6,026,166/x
  3. Step 3: Cross multiply
    3,741,796x = 6,026,166 × 6,026,166
  4. Step 4: Simplify right side
    3,741,796x = 36,314,676,659,556
  5. Step 5: Solve for x
    x = 36,314,676,659,556/3,741,796
  6. Step 6: Final answer
    x = 9,705,146.05

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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.