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Finding the Third Proportional to 451,806 and 963,660

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Solution

The third proportional to 451,806 and 963,660 is: 2,055,396.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,806 : 963,660 = 963,660 : x
  2. Step 2: Convert to fraction form
    451,806/963,660 = 963,660/x
  3. Step 3: Cross multiply
    451,806x = 963,660 × 963,660
  4. Step 4: Simplify right side
    451,806x = 928,640,595,600
  5. Step 5: Solve for x
    x = 928,640,595,600/451,806
  6. Step 6: Final answer
    x = 2,055,396.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.