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Finding the Third Proportional to 475,504 and 990,864

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Solution

The third proportional to 475,504 and 990,864 is: 2,064,780.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,504 : 990,864 = 990,864 : x
  2. Step 2: Convert to fraction form
    475,504/990,864 = 990,864/x
  3. Step 3: Cross multiply
    475,504x = 990,864 × 990,864
  4. Step 4: Simplify right side
    475,504x = 981,811,466,496
  5. Step 5: Solve for x
    x = 981,811,466,496/475,504
  6. Step 6: Final answer
    x = 2,064,780.67

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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.