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Finding the Third Proportional to 1,101,322 and 2,261,930

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Solution

The third proportional to 1,101,322 and 2,261,930 is: 4,645,623.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101,322 : 2,261,930 = 2,261,930 : x
  2. Step 2: Convert to fraction form
    1,101,322/2,261,930 = 2,261,930/x
  3. Step 3: Cross multiply
    1,101,322x = 2,261,930 × 2,261,930
  4. Step 4: Simplify right side
    1,101,322x = 5,116,327,324,900
  5. Step 5: Solve for x
    x = 5,116,327,324,900/1,101,322
  6. Step 6: Final answer
    x = 4,645,623.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.