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Finding the Third Proportional to 997,657 and 2,181,649

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Solution

The third proportional to 997,657 and 2,181,649 is: 4,770,770.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,657 : 2,181,649 = 2,181,649 : x
  2. Step 2: Convert to fraction form
    997,657/2,181,649 = 2,181,649/x
  3. Step 3: Cross multiply
    997,657x = 2,181,649 × 2,181,649
  4. Step 4: Simplify right side
    997,657x = 4,759,592,359,201
  5. Step 5: Solve for x
    x = 4,759,592,359,201/997,657
  6. Step 6: Final answer
    x = 4,770,770.27

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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.