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Finding the Third Proportional to 2,004,153 and 4,205,244

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Solution

The third proportional to 2,004,153 and 4,205,244 is: 8,823,716.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004,153 : 4,205,244 = 4,205,244 : x
  2. Step 2: Convert to fraction form
    2,004,153/4,205,244 = 4,205,244/x
  3. Step 3: Cross multiply
    2,004,153x = 4,205,244 × 4,205,244
  4. Step 4: Simplify right side
    2,004,153x = 17,684,077,099,536
  5. Step 5: Solve for x
    x = 17,684,077,099,536/2,004,153
  6. Step 6: Final answer
    x = 8,823,716.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.