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Finding the Third Proportional to 444,318 and 967,476

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Solution

The third proportional to 444,318 and 967,476 is: 2,106,621.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,318 : 967,476 = 967,476 : x
  2. Step 2: Convert to fraction form
    444,318/967,476 = 967,476/x
  3. Step 3: Cross multiply
    444,318x = 967,476 × 967,476
  4. Step 4: Simplify right side
    444,318x = 936,009,810,576
  5. Step 5: Solve for x
    x = 936,009,810,576/444,318
  6. Step 6: Final answer
    x = 2,106,621.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.