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Finding the Third Proportional to 1,143,621 and 1,682,167

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Solution

The third proportional to 1,143,621 and 1,682,167 is: 2,474,321.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,621 : 1,682,167 = 1,682,167 : x
  2. Step 2: Convert to fraction form
    1,143,621/1,682,167 = 1,682,167/x
  3. Step 3: Cross multiply
    1,143,621x = 1,682,167 × 1,682,167
  4. Step 4: Simplify right side
    1,143,621x = 2,829,685,815,889
  5. Step 5: Solve for x
    x = 2,829,685,815,889/1,143,621
  6. Step 6: Final answer
    x = 2,474,321.31

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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.