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Finding the Third Proportional to 1,682,511.75 and 3,669,543

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Solution

The third proportional to 1,682,511.75 and 3,669,543 is: 8,003,240.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,511.75 : 3,669,543 = 3,669,543 : x
  2. Step 2: Convert to fraction form
    1,682,511.75/3,669,543 = 3,669,543/x
  3. Step 3: Cross multiply
    1,682,511.75x = 3,669,543 × 3,669,543
  4. Step 4: Simplify right side
    1,682,511.75x = 13,465,545,828,849
  5. Step 5: Solve for x
    x = 13,465,545,828,849/1,682,511.75
  6. Step 6: Final answer
    x = 8,003,240.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.