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Finding the Third Proportional to 733,385 and 1,624,234

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Solution

The third proportional to 733,385 and 1,624,234 is: 3,597,204.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,385 : 1,624,234 = 1,624,234 : x
  2. Step 2: Convert to fraction form
    733,385/1,624,234 = 1,624,234/x
  3. Step 3: Cross multiply
    733,385x = 1,624,234 × 1,624,234
  4. Step 4: Simplify right side
    733,385x = 2,638,136,086,756
  5. Step 5: Solve for x
    x = 2,638,136,086,756/733,385
  6. Step 6: Final answer
    x = 3,597,204.86

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.