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Finding the Third Proportional to 466,806 and 950,728

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Solution

The third proportional to 466,806 and 950,728 is: 1,936,315.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,806 : 950,728 = 950,728 : x
  2. Step 2: Convert to fraction form
    466,806/950,728 = 950,728/x
  3. Step 3: Cross multiply
    466,806x = 950,728 × 950,728
  4. Step 4: Simplify right side
    466,806x = 903,883,729,984
  5. Step 5: Solve for x
    x = 903,883,729,984/466,806
  6. Step 6: Final answer
    x = 1,936,315.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.