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Finding the Third Proportional to 626,147 and 1,340,839

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Solution

The third proportional to 626,147 and 1,340,839 is: 2,871,289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,147 : 1,340,839 = 1,340,839 : x
  2. Step 2: Convert to fraction form
    626,147/1,340,839 = 1,340,839/x
  3. Step 3: Cross multiply
    626,147x = 1,340,839 × 1,340,839
  4. Step 4: Simplify right side
    626,147x = 1,797,849,223,921
  5. Step 5: Solve for x
    x = 1,797,849,223,921/626,147
  6. Step 6: Final answer
    x = 2,871,289.37

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.