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Finding the Third Proportional to 1,214,210 and 1,825,227

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Solution

The third proportional to 1,214,210 and 1,825,227 is: 2,743,721.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,210 : 1,825,227 = 1,825,227 : x
  2. Step 2: Convert to fraction form
    1,214,210/1,825,227 = 1,825,227/x
  3. Step 3: Cross multiply
    1,214,210x = 1,825,227 × 1,825,227
  4. Step 4: Simplify right side
    1,214,210x = 3,331,453,601,529
  5. Step 5: Solve for x
    x = 3,331,453,601,529/1,214,210
  6. Step 6: Final answer
    x = 2,743,721.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.