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Finding the Third Proportional to 984,512 and 2,161,476

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Solution

The third proportional to 984,512 and 2,161,476 is: 4,745,476.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,512 : 2,161,476 = 2,161,476 : x
  2. Step 2: Convert to fraction form
    984,512/2,161,476 = 2,161,476/x
  3. Step 3: Cross multiply
    984,512x = 2,161,476 × 2,161,476
  4. Step 4: Simplify right side
    984,512x = 4,671,978,498,576
  5. Step 5: Solve for x
    x = 4,671,978,498,576/984,512
  6. Step 6: Final answer
    x = 4,745,476.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.