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Finding the Third Proportional to 1,682,454 and 2,543,751

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Solution

The third proportional to 1,682,454 and 2,543,751 is: 3,845,970.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,454 : 2,543,751 = 2,543,751 : x
  2. Step 2: Convert to fraction form
    1,682,454/2,543,751 = 2,543,751/x
  3. Step 3: Cross multiply
    1,682,454x = 2,543,751 × 2,543,751
  4. Step 4: Simplify right side
    1,682,454x = 6,470,669,150,001
  5. Step 5: Solve for x
    x = 6,470,669,150,001/1,682,454
  6. Step 6: Final answer
    x = 3,845,970.92

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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.