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Finding the Third Proportional to 635,188 and 1,362,473

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Solution

The third proportional to 635,188 and 1,362,473 is: 2,922,493.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,188 : 1,362,473 = 1,362,473 : x
  2. Step 2: Convert to fraction form
    635,188/1,362,473 = 1,362,473/x
  3. Step 3: Cross multiply
    635,188x = 1,362,473 × 1,362,473
  4. Step 4: Simplify right side
    635,188x = 1,856,332,675,729
  5. Step 5: Solve for x
    x = 1,856,332,675,729/635,188
  6. Step 6: Final answer
    x = 2,922,493.30

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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.