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Finding the Third Proportional to 401,949 and 836,974.69

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Solution

The third proportional to 401,949 and 836,974.69 is: 1,742,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,949 : 836,974.69 = 836,974.69 : x
  2. Step 2: Convert to fraction form
    401,949/836,974.69 = 836,974.69/x
  3. Step 3: Cross multiply
    401,949x = 836,974.69 × 836,974.69
  4. Step 4: Simplify right side
    401,949x = 700,526,627,515.72
  5. Step 5: Solve for x
    x = 700,526,627,515.72/401,949
  6. Step 6: Final answer
    x = 1,742,824.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.