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Finding the Third Proportional to 997,732.69 and 2,188,607.34

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Solution

The third proportional to 997,732.69 and 2,188,607.34 is: 4,800,887.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,732.69 : 2,188,607.34 = 2,188,607.34 : x
  2. Step 2: Convert to fraction form
    997,732.69/2,188,607.34 = 2,188,607.34/x
  3. Step 3: Cross multiply
    997,732.69x = 2,188,607.34 × 2,188,607.34
  4. Step 4: Simplify right side
    997,732.69x = 4,790,002,105,116.43
  5. Step 5: Solve for x
    x = 4,790,002,105,116.43/997,732.69
  6. Step 6: Final answer
    x = 4,800,887.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.