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Finding the Third Proportional to 635,928 and 1,397,232

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Solution

The third proportional to 635,928 and 1,397,232 is: 3,069,934.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,928 : 1,397,232 = 1,397,232 : x
  2. Step 2: Convert to fraction form
    635,928/1,397,232 = 1,397,232/x
  3. Step 3: Cross multiply
    635,928x = 1,397,232 × 1,397,232
  4. Step 4: Simplify right side
    635,928x = 1,952,257,261,824
  5. Step 5: Solve for x
    x = 1,952,257,261,824/635,928
  6. Step 6: Final answer
    x = 3,069,934.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.