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Finding the Third Proportional to 475,524 and 990,900

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Solution

The third proportional to 475,524 and 990,900 is: 2,064,843.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,524 : 990,900 = 990,900 : x
  2. Step 2: Convert to fraction form
    475,524/990,900 = 990,900/x
  3. Step 3: Cross multiply
    475,524x = 990,900 × 990,900
  4. Step 4: Simplify right side
    475,524x = 981,882,810,000
  5. Step 5: Solve for x
    x = 981,882,810,000/475,524
  6. Step 6: Final answer
    x = 2,064,843.86

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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.