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Finding the Third Proportional to 2,101,296 and 3,212,946

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Solution

The third proportional to 2,101,296 and 3,212,946 is: 4,912,692.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101,296 : 3,212,946 = 3,212,946 : x
  2. Step 2: Convert to fraction form
    2,101,296/3,212,946 = 3,212,946/x
  3. Step 3: Cross multiply
    2,101,296x = 3,212,946 × 3,212,946
  4. Step 4: Simplify right side
    2,101,296x = 10,323,021,998,916
  5. Step 5: Solve for x
    x = 10,323,021,998,916/2,101,296
  6. Step 6: Final answer
    x = 4,912,692.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.