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Finding the Third Proportional to 635,274 and 1,396,485

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Solution

The third proportional to 635,274 and 1,396,485 is: 3,069,809.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,274 : 1,396,485 = 1,396,485 : x
  2. Step 2: Convert to fraction form
    635,274/1,396,485 = 1,396,485/x
  3. Step 3: Cross multiply
    635,274x = 1,396,485 × 1,396,485
  4. Step 4: Simplify right side
    635,274x = 1,950,170,355,225
  5. Step 5: Solve for x
    x = 1,950,170,355,225/635,274
  6. Step 6: Final answer
    x = 3,069,809.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.