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Finding the Third Proportional to 2,143,800 and 3,412,500

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Solution

The third proportional to 2,143,800 and 3,412,500 is: 5,432,016.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,800 : 3,412,500 = 3,412,500 : x
  2. Step 2: Convert to fraction form
    2,143,800/3,412,500 = 3,412,500/x
  3. Step 3: Cross multiply
    2,143,800x = 3,412,500 × 3,412,500
  4. Step 4: Simplify right side
    2,143,800x = 11,645,156,250,000
  5. Step 5: Solve for x
    x = 11,645,156,250,000/2,143,800
  6. Step 6: Final answer
    x = 5,432,016.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.