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Finding the Third Proportional to 451,460 and 940,286.75

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Solution

The third proportional to 451,460 and 940,286.75 is: 1,958,399.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,460 : 940,286.75 = 940,286.75 : x
  2. Step 2: Convert to fraction form
    451,460/940,286.75 = 940,286.75/x
  3. Step 3: Cross multiply
    451,460x = 940,286.75 × 940,286.75
  4. Step 4: Simplify right side
    451,460x = 884,139,172,225.56
  5. Step 5: Solve for x
    x = 884,139,172,225.56/451,460
  6. Step 6: Final answer
    x = 1,958,399.80

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.