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Finding the Third Proportional to 561,172 and 821,859

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Solution

The third proportional to 561,172 and 821,859 is: 1,203,645.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,172 : 821,859 = 821,859 : x
  2. Step 2: Convert to fraction form
    561,172/821,859 = 821,859/x
  3. Step 3: Cross multiply
    561,172x = 821,859 × 821,859
  4. Step 4: Simplify right side
    561,172x = 675,452,215,881
  5. Step 5: Solve for x
    x = 675,452,215,881/561,172
  6. Step 6: Final answer
    x = 1,203,645.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.