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Finding the Third Proportional to 465,777 and 997,954

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Solution

The third proportional to 465,777 and 997,954 is: 2,138,173.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,777 : 997,954 = 997,954 : x
  2. Step 2: Convert to fraction form
    465,777/997,954 = 997,954/x
  3. Step 3: Cross multiply
    465,777x = 997,954 × 997,954
  4. Step 4: Simplify right side
    465,777x = 995,912,186,116
  5. Step 5: Solve for x
    x = 995,912,186,116/465,777
  6. Step 6: Final answer
    x = 2,138,173.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.