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Finding the Third Proportional to 475,619 and 990,604

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Solution

The third proportional to 475,619 and 990,604 is: 2,063,198.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,619 : 990,604 = 990,604 : x
  2. Step 2: Convert to fraction form
    475,619/990,604 = 990,604/x
  3. Step 3: Cross multiply
    475,619x = 990,604 × 990,604
  4. Step 4: Simplify right side
    475,619x = 981,296,284,816
  5. Step 5: Solve for x
    x = 981,296,284,816/475,619
  6. Step 6: Final answer
    x = 2,063,198.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.