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Finding the Third Proportional to 1,419,072 and 2,143,349

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Solution

The third proportional to 1,419,072 and 2,143,349 is: 3,237,288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,072 : 2,143,349 = 2,143,349 : x
  2. Step 2: Convert to fraction form
    1,419,072/2,143,349 = 2,143,349/x
  3. Step 3: Cross multiply
    1,419,072x = 2,143,349 × 2,143,349
  4. Step 4: Simplify right side
    1,419,072x = 4,593,944,935,801
  5. Step 5: Solve for x
    x = 4,593,944,935,801/1,419,072
  6. Step 6: Final answer
    x = 3,237,288.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.