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Finding the Third Proportional to 1,682,399 and 2,543,670

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Solution

The third proportional to 1,682,399 and 2,543,670 is: 3,845,851.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,399 : 2,543,670 = 2,543,670 : x
  2. Step 2: Convert to fraction form
    1,682,399/2,543,670 = 2,543,670/x
  3. Step 3: Cross multiply
    1,682,399x = 2,543,670 × 2,543,670
  4. Step 4: Simplify right side
    1,682,399x = 6,470,257,068,900
  5. Step 5: Solve for x
    x = 6,470,257,068,900/1,682,399
  6. Step 6: Final answer
    x = 3,845,851.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.