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Finding the Third Proportional to 635,180 and 1,362,456

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Solution

The third proportional to 635,180 and 1,362,456 is: 2,922,457.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,180 : 1,362,456 = 1,362,456 : x
  2. Step 2: Convert to fraction form
    635,180/1,362,456 = 1,362,456/x
  3. Step 3: Cross multiply
    635,180x = 1,362,456 × 1,362,456
  4. Step 4: Simplify right side
    635,180x = 1,856,286,351,936
  5. Step 5: Solve for x
    x = 1,856,286,351,936/635,180
  6. Step 6: Final answer
    x = 2,922,457.18

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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.