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Finding the Third Proportional to 997,755.75 and 2,188,654.50

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Solution

The third proportional to 997,755.75 and 2,188,654.50 is: 4,800,983.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,755.75 : 2,188,654.50 = 2,188,654.50 : x
  2. Step 2: Convert to fraction form
    997,755.75/2,188,654.50 = 2,188,654.50/x
  3. Step 3: Cross multiply
    997,755.75x = 2,188,654.50 × 2,188,654.50
  4. Step 4: Simplify right side
    997,755.75x = 4,790,208,520,370.25
  5. Step 5: Solve for x
    x = 4,790,208,520,370.25/997,755.75
  6. Step 6: Final answer
    x = 4,800,983.13

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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.