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Finding the Third Proportional to 639,296 and 1,378,224

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Solution

The third proportional to 639,296 and 1,378,224 is: 2,971,239.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,296 : 1,378,224 = 1,378,224 : x
  2. Step 2: Convert to fraction form
    639,296/1,378,224 = 1,378,224/x
  3. Step 3: Cross multiply
    639,296x = 1,378,224 × 1,378,224
  4. Step 4: Simplify right side
    639,296x = 1,899,501,394,176
  5. Step 5: Solve for x
    x = 1,899,501,394,176/639,296
  6. Step 6: Final answer
    x = 2,971,239.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.