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Finding the Third Proportional to 814,542 and 1,786,710

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Solution

The third proportional to 814,542 and 1,786,710 is: 3,919,174.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,542 : 1,786,710 = 1,786,710 : x
  2. Step 2: Convert to fraction form
    814,542/1,786,710 = 1,786,710/x
  3. Step 3: Cross multiply
    814,542x = 1,786,710 × 1,786,710
  4. Step 4: Simplify right side
    814,542x = 3,192,332,624,100
  5. Step 5: Solve for x
    x = 3,192,332,624,100/814,542
  6. Step 6: Final answer
    x = 3,919,174.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.