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Finding the Third Proportional to 401,740 and 836,766

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Solution

The third proportional to 401,740 and 836,766 is: 1,742,861.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,740 : 836,766 = 836,766 : x
  2. Step 2: Convert to fraction form
    401,740/836,766 = 836,766/x
  3. Step 3: Cross multiply
    401,740x = 836,766 × 836,766
  4. Step 4: Simplify right side
    401,740x = 700,177,338,756
  5. Step 5: Solve for x
    x = 700,177,338,756/401,740
  6. Step 6: Final answer
    x = 1,742,861.90

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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.