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Finding the Third Proportional to 735,891 and 1,629,165

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Solution

The third proportional to 735,891 and 1,629,165 is: 3,606,755.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,891 : 1,629,165 = 1,629,165 : x
  2. Step 2: Convert to fraction form
    735,891/1,629,165 = 1,629,165/x
  3. Step 3: Cross multiply
    735,891x = 1,629,165 × 1,629,165
  4. Step 4: Simplify right side
    735,891x = 2,654,178,597,225
  5. Step 5: Solve for x
    x = 2,654,178,597,225/735,891
  6. Step 6: Final answer
    x = 3,606,755.07

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.