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Finding the Third Proportional to 453,832 and 990,764

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Solution

The third proportional to 453,832 and 990,764 is: 2,162,944.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,832 : 990,764 = 990,764 : x
  2. Step 2: Convert to fraction form
    453,832/990,764 = 990,764/x
  3. Step 3: Cross multiply
    453,832x = 990,764 × 990,764
  4. Step 4: Simplify right side
    453,832x = 981,613,303,696
  5. Step 5: Solve for x
    x = 981,613,303,696/453,832
  6. Step 6: Final answer
    x = 2,162,944.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.