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Finding the Third Proportional to 635,652 and 942,482

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Solution

The third proportional to 635,652 and 942,482 is: 1,397,419.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,652 : 942,482 = 942,482 : x
  2. Step 2: Convert to fraction form
    635,652/942,482 = 942,482/x
  3. Step 3: Cross multiply
    635,652x = 942,482 × 942,482
  4. Step 4: Simplify right side
    635,652x = 888,272,320,324
  5. Step 5: Solve for x
    x = 888,272,320,324/635,652
  6. Step 6: Final answer
    x = 1,397,419.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.