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Finding the Third Proportional to 393,759 and 843,453

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Solution

The third proportional to 393,759 and 843,453 is: 1,806,721.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,759 : 843,453 = 843,453 : x
  2. Step 2: Convert to fraction form
    393,759/843,453 = 843,453/x
  3. Step 3: Cross multiply
    393,759x = 843,453 × 843,453
  4. Step 4: Simplify right side
    393,759x = 711,412,963,209
  5. Step 5: Solve for x
    x = 711,412,963,209/393,759
  6. Step 6: Final answer
    x = 1,806,721.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.