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Finding the Third Proportional to 453,606 and 997,326

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Solution

The third proportional to 453,606 and 997,326 is: 2,192,782.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,606 : 997,326 = 997,326 : x
  2. Step 2: Convert to fraction form
    453,606/997,326 = 997,326/x
  3. Step 3: Cross multiply
    453,606x = 997,326 × 997,326
  4. Step 4: Simplify right side
    453,606x = 994,659,150,276
  5. Step 5: Solve for x
    x = 994,659,150,276/453,606
  6. Step 6: Final answer
    x = 2,192,782.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.