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Finding the Third Proportional to 735,889.50 and 1,629,162

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Solution

The third proportional to 735,889.50 and 1,629,162 is: 3,606,749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,889.50 : 1,629,162 = 1,629,162 : x
  2. Step 2: Convert to fraction form
    735,889.50/1,629,162 = 1,629,162/x
  3. Step 3: Cross multiply
    735,889.50x = 1,629,162 × 1,629,162
  4. Step 4: Simplify right side
    735,889.50x = 2,654,168,822,244
  5. Step 5: Solve for x
    x = 2,654,168,822,244/735,889.50
  6. Step 6: Final answer
    x = 3,606,749.14

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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.