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Finding the Third Proportional to 601,212 and 900,161

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Solution

The third proportional to 601,212 and 900,161 is: 1,347,760.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,212 : 900,161 = 900,161 : x
  2. Step 2: Convert to fraction form
    601,212/900,161 = 900,161/x
  3. Step 3: Cross multiply
    601,212x = 900,161 × 900,161
  4. Step 4: Simplify right side
    601,212x = 810,289,825,921
  5. Step 5: Solve for x
    x = 810,289,825,921/601,212
  6. Step 6: Final answer
    x = 1,347,760.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.