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Finding the Third Proportional to 787,926 and 1,181,601

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Solution

The third proportional to 787,926 and 1,181,601 is: 1,771,969.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,926 : 1,181,601 = 1,181,601 : x
  2. Step 2: Convert to fraction form
    787,926/1,181,601 = 1,181,601/x
  3. Step 3: Cross multiply
    787,926x = 1,181,601 × 1,181,601
  4. Step 4: Simplify right side
    787,926x = 1,396,180,923,201
  5. Step 5: Solve for x
    x = 1,396,180,923,201/787,926
  6. Step 6: Final answer
    x = 1,771,969.61

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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.