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Finding the Third Proportional to 454,806 and 985,302

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Solution

The third proportional to 454,806 and 985,302 is: 2,134,580.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,806 : 985,302 = 985,302 : x
  2. Step 2: Convert to fraction form
    454,806/985,302 = 985,302/x
  3. Step 3: Cross multiply
    454,806x = 985,302 × 985,302
  4. Step 4: Simplify right side
    454,806x = 970,820,031,204
  5. Step 5: Solve for x
    x = 970,820,031,204/454,806
  6. Step 6: Final answer
    x = 2,134,580.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.