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Finding the Third Proportional to 635,186 and 1,362,469

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Solution

The third proportional to 635,186 and 1,362,469 is: 2,922,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,186 : 1,362,469 = 1,362,469 : x
  2. Step 2: Convert to fraction form
    635,186/1,362,469 = 1,362,469/x
  3. Step 3: Cross multiply
    635,186x = 1,362,469 × 1,362,469
  4. Step 4: Simplify right side
    635,186x = 1,856,321,775,961
  5. Step 5: Solve for x
    x = 1,856,321,775,961/635,186
  6. Step 6: Final answer
    x = 2,922,485.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.