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Finding the Third Proportional to 1,143,696 and 1,682,274

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Solution

The third proportional to 1,143,696 and 1,682,274 is: 2,474,473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,696 : 1,682,274 = 1,682,274 : x
  2. Step 2: Convert to fraction form
    1,143,696/1,682,274 = 1,682,274/x
  3. Step 3: Cross multiply
    1,143,696x = 1,682,274 × 1,682,274
  4. Step 4: Simplify right side
    1,143,696x = 2,830,045,811,076
  5. Step 5: Solve for x
    x = 2,830,045,811,076/1,143,696
  6. Step 6: Final answer
    x = 2,474,473.82

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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.