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Finding the Third Proportional to 801,042 and 1,201,723

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Solution

The third proportional to 801,042 and 1,201,723 is: 1,802,824.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,042 : 1,201,723 = 1,201,723 : x
  2. Step 2: Convert to fraction form
    801,042/1,201,723 = 1,201,723/x
  3. Step 3: Cross multiply
    801,042x = 1,201,723 × 1,201,723
  4. Step 4: Simplify right side
    801,042x = 1,444,138,168,729
  5. Step 5: Solve for x
    x = 1,444,138,168,729/801,042
  6. Step 6: Final answer
    x = 1,802,824.53

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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.