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Finding the Third Proportional to 422,924 and 952,310

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Solution

The third proportional to 422,924 and 952,310 is: 2,144,343.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,924 : 952,310 = 952,310 : x
  2. Step 2: Convert to fraction form
    422,924/952,310 = 952,310/x
  3. Step 3: Cross multiply
    422,924x = 952,310 × 952,310
  4. Step 4: Simplify right side
    422,924x = 906,894,336,100
  5. Step 5: Solve for x
    x = 906,894,336,100/422,924
  6. Step 6: Final answer
    x = 2,144,343.51

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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.