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Finding the Third Proportional to 997,757 and 2,261,883

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Solution

The third proportional to 997,757 and 2,261,883 is: 5,127,615.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,757 : 2,261,883 = 2,261,883 : x
  2. Step 2: Convert to fraction form
    997,757/2,261,883 = 2,261,883/x
  3. Step 3: Cross multiply
    997,757x = 2,261,883 × 2,261,883
  4. Step 4: Simplify right side
    997,757x = 5,116,114,705,689
  5. Step 5: Solve for x
    x = 5,116,114,705,689/997,757
  6. Step 6: Final answer
    x = 5,127,615.95

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.