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Finding the Third Proportional to 485,460 and 990,198

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Solution

The third proportional to 485,460 and 990,198 is: 2,019,717.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,460 : 990,198 = 990,198 : x
  2. Step 2: Convert to fraction form
    485,460/990,198 = 990,198/x
  3. Step 3: Cross multiply
    485,460x = 990,198 × 990,198
  4. Step 4: Simplify right side
    485,460x = 980,492,079,204
  5. Step 5: Solve for x
    x = 980,492,079,204/485,460
  6. Step 6: Final answer
    x = 2,019,717.54

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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.