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Finding the Third Proportional to 2,074,174 and 3,111,317

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Solution

The third proportional to 2,074,174 and 3,111,317 is: 4,667,059.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074,174 : 3,111,317 = 3,111,317 : x
  2. Step 2: Convert to fraction form
    2,074,174/3,111,317 = 3,111,317/x
  3. Step 3: Cross multiply
    2,074,174x = 3,111,317 × 3,111,317
  4. Step 4: Simplify right side
    2,074,174x = 9,680,293,474,489
  5. Step 5: Solve for x
    x = 9,680,293,474,489/2,074,174
  6. Step 6: Final answer
    x = 4,667,059.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.