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Finding the Third Proportional to 601,227 and 1,322,696

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Solution

The third proportional to 601,227 and 1,322,696 is: 2,909,923.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,227 : 1,322,696 = 1,322,696 : x
  2. Step 2: Convert to fraction form
    601,227/1,322,696 = 1,322,696/x
  3. Step 3: Cross multiply
    601,227x = 1,322,696 × 1,322,696
  4. Step 4: Simplify right side
    601,227x = 1,749,524,708,416
  5. Step 5: Solve for x
    x = 1,749,524,708,416/601,227
  6. Step 6: Final answer
    x = 2,909,923.72

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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.