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Finding the Third Proportional to 449,109.75 and 997,866

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Solution

The third proportional to 449,109.75 and 997,866 is: 2,217,134.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,109.75 : 997,866 = 997,866 : x
  2. Step 2: Convert to fraction form
    449,109.75/997,866 = 997,866/x
  3. Step 3: Cross multiply
    449,109.75x = 997,866 × 997,866
  4. Step 4: Simplify right side
    449,109.75x = 995,736,553,956
  5. Step 5: Solve for x
    x = 995,736,553,956/449,109.75
  6. Step 6: Final answer
    x = 2,217,134.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.