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Finding the Third Proportional to 997,729.31 and 2,188,603.13

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Solution

The third proportional to 997,729.31 and 2,188,603.13 is: 4,800,884.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,729.31 : 2,188,603.13 = 2,188,603.13 : x
  2. Step 2: Convert to fraction form
    997,729.31/2,188,603.13 = 2,188,603.13/x
  3. Step 3: Cross multiply
    997,729.31x = 2,188,603.13 × 2,188,603.13
  4. Step 4: Simplify right side
    997,729.31x = 4,789,983,638,759.77
  5. Step 5: Solve for x
    x = 4,789,983,638,759.77/997,729.31
  6. Step 6: Final answer
    x = 4,800,884.95

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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.