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Finding the Third Proportional to 685,625 and 1,476,611

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Solution

The third proportional to 685,625 and 1,476,611 is: 3,180,134.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,625 : 1,476,611 = 1,476,611 : x
  2. Step 2: Convert to fraction form
    685,625/1,476,611 = 1,476,611/x
  3. Step 3: Cross multiply
    685,625x = 1,476,611 × 1,476,611
  4. Step 4: Simplify right side
    685,625x = 2,180,380,045,321
  5. Step 5: Solve for x
    x = 2,180,380,045,321/685,625
  6. Step 6: Final answer
    x = 3,180,134.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.