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Finding the Third Proportional to 801,493 and 1,199,727.50

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Solution

The third proportional to 801,493 and 1,199,727.50 is: 1,795,831.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,493 : 1,199,727.50 = 1,199,727.50 : x
  2. Step 2: Convert to fraction form
    801,493/1,199,727.50 = 1,199,727.50/x
  3. Step 3: Cross multiply
    801,493x = 1,199,727.50 × 1,199,727.50
  4. Step 4: Simplify right side
    801,493x = 1,439,346,074,256.25
  5. Step 5: Solve for x
    x = 1,439,346,074,256.25/801,493
  6. Step 6: Final answer
    x = 1,795,831.12

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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.