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Finding the Third Proportional to 2,942,412 and 6,204,288

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Solution

The third proportional to 2,942,412 and 6,204,288 is: 13,082,188.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942,412 : 6,204,288 = 6,204,288 : x
  2. Step 2: Convert to fraction form
    2,942,412/6,204,288 = 6,204,288/x
  3. Step 3: Cross multiply
    2,942,412x = 6,204,288 × 6,204,288
  4. Step 4: Simplify right side
    2,942,412x = 38,493,189,586,944
  5. Step 5: Solve for x
    x = 38,493,189,586,944/2,942,412
  6. Step 6: Final answer
    x = 13,082,188.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.