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Finding the Third Proportional to 685,611 and 1,476,586

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Solution

The third proportional to 685,611 and 1,476,586 is: 3,180,092.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,611 : 1,476,586 = 1,476,586 : x
  2. Step 2: Convert to fraction form
    685,611/1,476,586 = 1,476,586/x
  3. Step 3: Cross multiply
    685,611x = 1,476,586 × 1,476,586
  4. Step 4: Simplify right side
    685,611x = 2,180,306,215,396
  5. Step 5: Solve for x
    x = 2,180,306,215,396/685,611
  6. Step 6: Final answer
    x = 3,180,092.23

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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.