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Finding the Third Proportional to 890,337 and 2,099,643

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Solution

The third proportional to 890,337 and 2,099,643 is: 4,951,496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,337 : 2,099,643 = 2,099,643 : x
  2. Step 2: Convert to fraction form
    890,337/2,099,643 = 2,099,643/x
  3. Step 3: Cross multiply
    890,337x = 2,099,643 × 2,099,643
  4. Step 4: Simplify right side
    890,337x = 4,408,500,727,449
  5. Step 5: Solve for x
    x = 4,408,500,727,449/890,337
  6. Step 6: Final answer
    x = 4,951,496.71

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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.