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Finding the Third Proportional to 667,091 and 1,467,029

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Solution

The third proportional to 667,091 and 1,467,029 is: 3,226,207.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,091 : 1,467,029 = 1,467,029 : x
  2. Step 2: Convert to fraction form
    667,091/1,467,029 = 1,467,029/x
  3. Step 3: Cross multiply
    667,091x = 1,467,029 × 1,467,029
  4. Step 4: Simplify right side
    667,091x = 2,152,174,086,841
  5. Step 5: Solve for x
    x = 2,152,174,086,841/667,091
  6. Step 6: Final answer
    x = 3,226,207.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.