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Finding the Third Proportional to 735,890 and 1,629,163

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Solution

The third proportional to 735,890 and 1,629,163 is: 3,606,751.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,890 : 1,629,163 = 1,629,163 : x
  2. Step 2: Convert to fraction form
    735,890/1,629,163 = 1,629,163/x
  3. Step 3: Cross multiply
    735,890x = 1,629,163 × 1,629,163
  4. Step 4: Simplify right side
    735,890x = 2,654,172,080,569
  5. Step 5: Solve for x
    x = 2,654,172,080,569/735,890
  6. Step 6: Final answer
    x = 3,606,751.12

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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.