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Finding the Third Proportional to 1,606,264 and 2,141,400

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Solution

The third proportional to 1,606,264 and 2,141,400 is: 2,854,819.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606,264 : 2,141,400 = 2,141,400 : x
  2. Step 2: Convert to fraction form
    1,606,264/2,141,400 = 2,141,400/x
  3. Step 3: Cross multiply
    1,606,264x = 2,141,400 × 2,141,400
  4. Step 4: Simplify right side
    1,606,264x = 4,585,593,960,000
  5. Step 5: Solve for x
    x = 4,585,593,960,000/1,606,264
  6. Step 6: Final answer
    x = 2,854,819.61

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.