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Finding the Third Proportional to 635,694 and 960,021

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Solution

The third proportional to 635,694 and 960,021 is: 1,449,817.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,694 : 960,021 = 960,021 : x
  2. Step 2: Convert to fraction form
    635,694/960,021 = 960,021/x
  3. Step 3: Cross multiply
    635,694x = 960,021 × 960,021
  4. Step 4: Simplify right side
    635,694x = 921,640,320,441
  5. Step 5: Solve for x
    x = 921,640,320,441/635,694
  6. Step 6: Final answer
    x = 1,449,817.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.