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Finding the Third Proportional to 451,662 and 675,994

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Solution

The third proportional to 451,662 and 675,994 is: 1,011,747.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,662 : 675,994 = 675,994 : x
  2. Step 2: Convert to fraction form
    451,662/675,994 = 675,994/x
  3. Step 3: Cross multiply
    451,662x = 675,994 × 675,994
  4. Step 4: Simplify right side
    451,662x = 456,967,888,036
  5. Step 5: Solve for x
    x = 456,967,888,036/451,662
  6. Step 6: Final answer
    x = 1,011,747.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.