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Finding the Third Proportional to 1,143,624 and 1,682,172

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Solution

The third proportional to 1,143,624 and 1,682,172 is: 2,474,329.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,624 : 1,682,172 = 1,682,172 : x
  2. Step 2: Convert to fraction form
    1,143,624/1,682,172 = 1,682,172/x
  3. Step 3: Cross multiply
    1,143,624x = 1,682,172 × 1,682,172
  4. Step 4: Simplify right side
    1,143,624x = 2,829,702,637,584
  5. Step 5: Solve for x
    x = 2,829,702,637,584/1,143,624
  6. Step 6: Final answer
    x = 2,474,329.53

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