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Finding the Third Proportional to 890,349 and 2,099,673

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Solution

The third proportional to 890,349 and 2,099,673 is: 4,951,571.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,349 : 2,099,673 = 2,099,673 : x
  2. Step 2: Convert to fraction form
    890,349/2,099,673 = 2,099,673/x
  3. Step 3: Cross multiply
    890,349x = 2,099,673 × 2,099,673
  4. Step 4: Simplify right side
    890,349x = 4,408,626,706,929
  5. Step 5: Solve for x
    x = 4,408,626,706,929/890,349
  6. Step 6: Final answer
    x = 4,951,571.47

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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.