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Finding the Third Proportional to 561,777 and 1,213,338

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Solution

The third proportional to 561,777 and 1,213,338 is: 2,620,593.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,777 : 1,213,338 = 1,213,338 : x
  2. Step 2: Convert to fraction form
    561,777/1,213,338 = 1,213,338/x
  3. Step 3: Cross multiply
    561,777x = 1,213,338 × 1,213,338
  4. Step 4: Simplify right side
    561,777x = 1,472,189,102,244
  5. Step 5: Solve for x
    x = 1,472,189,102,244/561,777
  6. Step 6: Final answer
    x = 2,620,593.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.