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Finding the Third Proportional to 1,143,684 and 1,682,256

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Solution

The third proportional to 1,143,684 and 1,682,256 is: 2,474,446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,684 : 1,682,256 = 1,682,256 : x
  2. Step 2: Convert to fraction form
    1,143,684/1,682,256 = 1,682,256/x
  3. Step 3: Cross multiply
    1,143,684x = 1,682,256 × 1,682,256
  4. Step 4: Simplify right side
    1,143,684x = 2,829,985,249,536
  5. Step 5: Solve for x
    x = 2,829,985,249,536/1,143,684
  6. Step 6: Final answer
    x = 2,474,446.83

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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.