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Finding the Third Proportional to 1,599,100 and 3,463,921

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Solution

The third proportional to 1,599,100 and 3,463,921 is: 7,503,438.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599,100 : 3,463,921 = 3,463,921 : x
  2. Step 2: Convert to fraction form
    1,599,100/3,463,921 = 3,463,921/x
  3. Step 3: Cross multiply
    1,599,100x = 3,463,921 × 3,463,921
  4. Step 4: Simplify right side
    1,599,100x = 11,998,748,694,241
  5. Step 5: Solve for x
    x = 11,998,748,694,241/1,599,100
  6. Step 6: Final answer
    x = 7,503,438.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.