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Finding the Third Proportional to 485,296 and 1,020,775

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Solution

The third proportional to 485,296 and 1,020,775 is: 2,147,105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,296 : 1,020,775 = 1,020,775 : x
  2. Step 2: Convert to fraction form
    485,296/1,020,775 = 1,020,775/x
  3. Step 3: Cross multiply
    485,296x = 1,020,775 × 1,020,775
  4. Step 4: Simplify right side
    485,296x = 1,041,981,600,625
  5. Step 5: Solve for x
    x = 1,041,981,600,625/485,296
  6. Step 6: Final answer
    x = 2,147,105.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.