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Finding the Third Proportional to 923,180 and 1,919,744

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Solution

The third proportional to 923,180 and 1,919,744 is: 3,992,089.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,180 : 1,919,744 = 1,919,744 : x
  2. Step 2: Convert to fraction form
    923,180/1,919,744 = 1,919,744/x
  3. Step 3: Cross multiply
    923,180x = 1,919,744 × 1,919,744
  4. Step 4: Simplify right side
    923,180x = 3,685,417,025,536
  5. Step 5: Solve for x
    x = 3,685,417,025,536/923,180
  6. Step 6: Final answer
    x = 3,992,089.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.