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Finding the Third Proportional to 561,234 and 855,861

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Solution

The third proportional to 561,234 and 855,861 is: 1,305,156.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,234 : 855,861 = 855,861 : x
  2. Step 2: Convert to fraction form
    561,234/855,861 = 855,861/x
  3. Step 3: Cross multiply
    561,234x = 855,861 × 855,861
  4. Step 4: Simplify right side
    561,234x = 732,498,051,321
  5. Step 5: Solve for x
    x = 732,498,051,321/561,234
  6. Step 6: Final answer
    x = 1,305,156.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.