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Finding the Third Proportional to 451,876 and 973,772

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Solution

The third proportional to 451,876 and 973,772 is: 2,098,433.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,876 : 973,772 = 973,772 : x
  2. Step 2: Convert to fraction form
    451,876/973,772 = 973,772/x
  3. Step 3: Cross multiply
    451,876x = 973,772 × 973,772
  4. Step 4: Simplify right side
    451,876x = 948,231,907,984
  5. Step 5: Solve for x
    x = 948,231,907,984/451,876
  6. Step 6: Final answer
    x = 2,098,433.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.