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Finding the Third Proportional to 451,872 and 973,782

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Solution

The third proportional to 451,872 and 973,782 is: 2,098,495.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,872 : 973,782 = 973,782 : x
  2. Step 2: Convert to fraction form
    451,872/973,782 = 973,782/x
  3. Step 3: Cross multiply
    451,872x = 973,782 × 973,782
  4. Step 4: Simplify right side
    451,872x = 948,251,383,524
  5. Step 5: Solve for x
    x = 948,251,383,524/451,872
  6. Step 6: Final answer
    x = 2,098,495.56

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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.