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Finding the Third Proportional to 422,922 and 952,305

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Solution

The third proportional to 422,922 and 952,305 is: 2,144,331.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,922 : 952,305 = 952,305 : x
  2. Step 2: Convert to fraction form
    422,922/952,305 = 952,305/x
  3. Step 3: Cross multiply
    422,922x = 952,305 × 952,305
  4. Step 4: Simplify right side
    422,922x = 906,884,813,025
  5. Step 5: Solve for x
    x = 906,884,813,025/422,922
  6. Step 6: Final answer
    x = 2,144,331.14

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.