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Finding the Third Proportional to 400,812 and 931,950

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Solution

The third proportional to 400,812 and 931,950 is: 2,166,928.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,812 : 931,950 = 931,950 : x
  2. Step 2: Convert to fraction form
    400,812/931,950 = 931,950/x
  3. Step 3: Cross multiply
    400,812x = 931,950 × 931,950
  4. Step 4: Simplify right side
    400,812x = 868,530,802,500
  5. Step 5: Solve for x
    x = 868,530,802,500/400,812
  6. Step 6: Final answer
    x = 2,166,928.14

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.