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Finding the Third Proportional to 451,638 and 973,775.25

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Solution

The third proportional to 451,638 and 973,775.25 is: 2,099,553.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,638 : 973,775.25 = 973,775.25 : x
  2. Step 2: Convert to fraction form
    451,638/973,775.25 = 973,775.25/x
  3. Step 3: Cross multiply
    451,638x = 973,775.25 × 973,775.25
  4. Step 4: Simplify right side
    451,638x = 948,238,237,512.56
  5. Step 5: Solve for x
    x = 948,238,237,512.56/451,638
  6. Step 6: Final answer
    x = 2,099,553.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.