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Finding the Third Proportional to 733,920 and 1,498,944

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Solution

The third proportional to 733,920 and 1,498,944 is: 3,061,414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,920 : 1,498,944 = 1,498,944 : x
  2. Step 2: Convert to fraction form
    733,920/1,498,944 = 1,498,944/x
  3. Step 3: Cross multiply
    733,920x = 1,498,944 × 1,498,944
  4. Step 4: Simplify right side
    733,920x = 2,246,833,115,136
  5. Step 5: Solve for x
    x = 2,246,833,115,136/733,920
  6. Step 6: Final answer
    x = 3,061,414.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.