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Finding the Third Proportional to 733,848 and 1,498,800

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Solution

The third proportional to 733,848 and 1,498,800 is: 3,061,126.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,848 : 1,498,800 = 1,498,800 : x
  2. Step 2: Convert to fraction form
    733,848/1,498,800 = 1,498,800/x
  3. Step 3: Cross multiply
    733,848x = 1,498,800 × 1,498,800
  4. Step 4: Simplify right side
    733,848x = 2,246,401,440,000
  5. Step 5: Solve for x
    x = 2,246,401,440,000/733,848
  6. Step 6: Final answer
    x = 3,061,126.34

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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.