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Finding the Third Proportional to 609,059 and 851,475

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Solution

The third proportional to 609,059 and 851,475 is: 1,190,376.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,059 : 851,475 = 851,475 : x
  2. Step 2: Convert to fraction form
    609,059/851,475 = 851,475/x
  3. Step 3: Cross multiply
    609,059x = 851,475 × 851,475
  4. Step 4: Simplify right side
    609,059x = 725,009,675,625
  5. Step 5: Solve for x
    x = 725,009,675,625/609,059
  6. Step 6: Final answer
    x = 1,190,376.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.