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Finding the Third Proportional to 635,619 and 942,433

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Solution

The third proportional to 635,619 and 942,433 is: 1,397,346.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,619 : 942,433 = 942,433 : x
  2. Step 2: Convert to fraction form
    635,619/942,433 = 942,433/x
  3. Step 3: Cross multiply
    635,619x = 942,433 × 942,433
  4. Step 4: Simplify right side
    635,619x = 888,179,959,489
  5. Step 5: Solve for x
    x = 888,179,959,489/635,619
  6. Step 6: Final answer
    x = 1,397,346.46

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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.