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Finding the Third Proportional to 1,143,622 and 1,682,169

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Solution

The third proportional to 1,143,622 and 1,682,169 is: 2,474,325.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,622 : 1,682,169 = 1,682,169 : x
  2. Step 2: Convert to fraction form
    1,143,622/1,682,169 = 1,682,169/x
  3. Step 3: Cross multiply
    1,143,622x = 1,682,169 × 1,682,169
  4. Step 4: Simplify right side
    1,143,622x = 2,829,692,544,561
  5. Step 5: Solve for x
    x = 2,829,692,544,561/1,143,622
  6. Step 6: Final answer
    x = 2,474,325.03

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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.