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Finding the Third Proportional to 1,997,288 and 4,274,512

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Solution

The third proportional to 1,997,288 and 4,274,512 is: 9,148,131.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997,288 : 4,274,512 = 4,274,512 : x
  2. Step 2: Convert to fraction form
    1,997,288/4,274,512 = 4,274,512/x
  3. Step 3: Cross multiply
    1,997,288x = 4,274,512 × 4,274,512
  4. Step 4: Simplify right side
    1,997,288x = 18,271,452,838,144
  5. Step 5: Solve for x
    x = 18,271,452,838,144/1,997,288
  6. Step 6: Final answer
    x = 9,148,131.29

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