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Finding the Third Proportional to 889,864 and 2,099,704

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Solution

The third proportional to 889,864 and 2,099,704 is: 4,954,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,864 : 2,099,704 = 2,099,704 : x
  2. Step 2: Convert to fraction form
    889,864/2,099,704 = 2,099,704/x
  3. Step 3: Cross multiply
    889,864x = 2,099,704 × 2,099,704
  4. Step 4: Simplify right side
    889,864x = 4,408,756,887,616
  5. Step 5: Solve for x
    x = 4,408,756,887,616/889,864
  6. Step 6: Final answer
    x = 4,954,416.50

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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.