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Finding the Third Proportional to 436,517 and 964,806

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Solution

The third proportional to 436,517 and 964,806 is: 2,132,449.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,517 : 964,806 = 964,806 : x
  2. Step 2: Convert to fraction form
    436,517/964,806 = 964,806/x
  3. Step 3: Cross multiply
    436,517x = 964,806 × 964,806
  4. Step 4: Simplify right side
    436,517x = 930,850,617,636
  5. Step 5: Solve for x
    x = 930,850,617,636/436,517
  6. Step 6: Final answer
    x = 2,132,449.86

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.