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Finding the Third Proportional to 405,573 and 938,876

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Solution

The third proportional to 405,573 and 938,876 is: 2,173,438.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,573 : 938,876 = 938,876 : x
  2. Step 2: Convert to fraction form
    405,573/938,876 = 938,876/x
  3. Step 3: Cross multiply
    405,573x = 938,876 × 938,876
  4. Step 4: Simplify right side
    405,573x = 881,488,143,376
  5. Step 5: Solve for x
    x = 881,488,143,376/405,573
  6. Step 6: Final answer
    x = 2,173,438.92

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.