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Finding the Third Proportional to 685,614.75 and 1,476,591

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Solution

The third proportional to 685,614.75 and 1,476,591 is: 3,180,096.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,614.75 : 1,476,591 = 1,476,591 : x
  2. Step 2: Convert to fraction form
    685,614.75/1,476,591 = 1,476,591/x
  3. Step 3: Cross multiply
    685,614.75x = 1,476,591 × 1,476,591
  4. Step 4: Simplify right side
    685,614.75x = 2,180,320,981,281
  5. Step 5: Solve for x
    x = 2,180,320,981,281/685,614.75
  6. Step 6: Final answer
    x = 3,180,096.38

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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.