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Finding the Third Proportional to 890,351 and 2,099,678

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Solution

The third proportional to 890,351 and 2,099,678 is: 4,951,583.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,351 : 2,099,678 = 2,099,678 : x
  2. Step 2: Convert to fraction form
    890,351/2,099,678 = 2,099,678/x
  3. Step 3: Cross multiply
    890,351x = 2,099,678 × 2,099,678
  4. Step 4: Simplify right side
    890,351x = 4,408,647,703,684
  5. Step 5: Solve for x
    x = 4,408,647,703,684/890,351
  6. Step 6: Final answer
    x = 4,951,583.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.