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Finding the Third Proportional to 474,120 and 1,119,204

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Solution

The third proportional to 474,120 and 1,119,204 is: 2,641,984.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,120 : 1,119,204 = 1,119,204 : x
  2. Step 2: Convert to fraction form
    474,120/1,119,204 = 1,119,204/x
  3. Step 3: Cross multiply
    474,120x = 1,119,204 × 1,119,204
  4. Step 4: Simplify right side
    474,120x = 1,252,617,593,616
  5. Step 5: Solve for x
    x = 1,252,617,593,616/474,120
  6. Step 6: Final answer
    x = 2,641,984.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.