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Finding the Third Proportional to 609,809.25 and 892,843.88

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Solution

The third proportional to 609,809.25 and 892,843.88 is: 1,307,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,809.25 : 892,843.88 = 892,843.88 : x
  2. Step 2: Convert to fraction form
    609,809.25/892,843.88 = 892,843.88/x
  3. Step 3: Cross multiply
    609,809.25x = 892,843.88 × 892,843.88
  4. Step 4: Simplify right side
    609,809.25x = 797,170,185,125.02
  5. Step 5: Solve for x
    x = 797,170,185,125.02/609,809.25
  6. Step 6: Final answer
    x = 1,307,245.15

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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.