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Finding the Third Proportional to 4,311,462 and 6,763,401

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Solution

The third proportional to 4,311,462 and 6,763,401 is: 10,609,763.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311,462 : 6,763,401 = 6,763,401 : x
  2. Step 2: Convert to fraction form
    4,311,462/6,763,401 = 6,763,401/x
  3. Step 3: Cross multiply
    4,311,462x = 6,763,401 × 6,763,401
  4. Step 4: Simplify right side
    4,311,462x = 45,743,593,086,801
  5. Step 5: Solve for x
    x = 45,743,593,086,801/4,311,462
  6. Step 6: Final answer
    x = 10,609,763.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.