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Finding the Third Proportional to 801,144 and 1,624,392

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Solution

The third proportional to 801,144 and 1,624,392 is: 3,293,601.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,144 : 1,624,392 = 1,624,392 : x
  2. Step 2: Convert to fraction form
    801,144/1,624,392 = 1,624,392/x
  3. Step 3: Cross multiply
    801,144x = 1,624,392 × 1,624,392
  4. Step 4: Simplify right side
    801,144x = 2,638,649,369,664
  5. Step 5: Solve for x
    x = 2,638,649,369,664/801,144
  6. Step 6: Final answer
    x = 3,293,601.86

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.