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Finding the Third Proportional to 967,576 and 1,451,729

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Solution

The third proportional to 967,576 and 1,451,729 is: 2,178,141.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,576 : 1,451,729 = 1,451,729 : x
  2. Step 2: Convert to fraction form
    967,576/1,451,729 = 1,451,729/x
  3. Step 3: Cross multiply
    967,576x = 1,451,729 × 1,451,729
  4. Step 4: Simplify right side
    967,576x = 2,107,517,089,441
  5. Step 5: Solve for x
    x = 2,107,517,089,441/967,576
  6. Step 6: Final answer
    x = 2,178,141.14

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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.