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Finding the Third Proportional to 801,056 and 1,201,741

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Solution

The third proportional to 801,056 and 1,201,741 is: 1,802,847.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,056 : 1,201,741 = 1,201,741 : x
  2. Step 2: Convert to fraction form
    801,056/1,201,741 = 1,201,741/x
  3. Step 3: Cross multiply
    801,056x = 1,201,741 × 1,201,741
  4. Step 4: Simplify right side
    801,056x = 1,444,181,431,081
  5. Step 5: Solve for x
    x = 1,444,181,431,081/801,056
  6. Step 6: Final answer
    x = 1,802,847.03

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Why These Related Problems?

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