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Finding the Third Proportional to 733,800 and 1,498,704

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Solution

The third proportional to 733,800 and 1,498,704 is: 3,060,934.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,800 : 1,498,704 = 1,498,704 : x
  2. Step 2: Convert to fraction form
    733,800/1,498,704 = 1,498,704/x
  3. Step 3: Cross multiply
    733,800x = 1,498,704 × 1,498,704
  4. Step 4: Simplify right side
    733,800x = 2,246,113,679,616
  5. Step 5: Solve for x
    x = 2,246,113,679,616/733,800
  6. Step 6: Final answer
    x = 3,060,934.42

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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.