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Finding the Third Proportional to 1,143,634 and 1,682,187

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Solution

The third proportional to 1,143,634 and 1,682,187 is: 2,474,352.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,634 : 1,682,187 = 1,682,187 : x
  2. Step 2: Convert to fraction form
    1,143,634/1,682,187 = 1,682,187/x
  3. Step 3: Cross multiply
    1,143,634x = 1,682,187 × 1,682,187
  4. Step 4: Simplify right side
    1,143,634x = 2,829,753,102,969
  5. Step 5: Solve for x
    x = 2,829,753,102,969/1,143,634
  6. Step 6: Final answer
    x = 2,474,352.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.