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Finding the Third Proportional to 800,201 and 1,227,029

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Solution

The third proportional to 800,201 and 1,227,029 is: 1,881,527.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,201 : 1,227,029 = 1,227,029 : x
  2. Step 2: Convert to fraction form
    800,201/1,227,029 = 1,227,029/x
  3. Step 3: Cross multiply
    800,201x = 1,227,029 × 1,227,029
  4. Step 4: Simplify right side
    800,201x = 1,505,600,166,841
  5. Step 5: Solve for x
    x = 1,505,600,166,841/800,201
  6. Step 6: Final answer
    x = 1,881,527.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.