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Finding the Third Proportional to 635,777 and 1,380,904

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Solution

The third proportional to 635,777 and 1,380,904 is: 2,999,315.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,777 : 1,380,904 = 1,380,904 : x
  2. Step 2: Convert to fraction form
    635,777/1,380,904 = 1,380,904/x
  3. Step 3: Cross multiply
    635,777x = 1,380,904 × 1,380,904
  4. Step 4: Simplify right side
    635,777x = 1,906,895,857,216
  5. Step 5: Solve for x
    x = 1,906,895,857,216/635,777
  6. Step 6: Final answer
    x = 2,999,315.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.