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Finding the Third Proportional to 997,755 and 2,188,643

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Solution

The third proportional to 997,755 and 2,188,643 is: 4,800,936.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,755 : 2,188,643 = 2,188,643 : x
  2. Step 2: Convert to fraction form
    997,755/2,188,643 = 2,188,643/x
  3. Step 3: Cross multiply
    997,755x = 2,188,643 × 2,188,643
  4. Step 4: Simplify right side
    997,755x = 4,790,158,181,449
  5. Step 5: Solve for x
    x = 4,790,158,181,449/997,755
  6. Step 6: Final answer
    x = 4,800,936.28

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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.