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Finding the Third Proportional to 2,135,169 and 4,664,322

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Solution

The third proportional to 2,135,169 and 4,664,322 is: 10,189,310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135,169 : 4,664,322 = 4,664,322 : x
  2. Step 2: Convert to fraction form
    2,135,169/4,664,322 = 4,664,322/x
  3. Step 3: Cross multiply
    2,135,169x = 4,664,322 × 4,664,322
  4. Step 4: Simplify right side
    2,135,169x = 21,755,899,719,684
  5. Step 5: Solve for x
    x = 21,755,899,719,684/2,135,169
  6. Step 6: Final answer
    x = 10,189,310.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.