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Finding the Third Proportional to 1,204,680 and 1,606,023

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Solution

The third proportional to 1,204,680 and 1,606,023 is: 2,141,074.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,680 : 1,606,023 = 1,606,023 : x
  2. Step 2: Convert to fraction form
    1,204,680/1,606,023 = 1,606,023/x
  3. Step 3: Cross multiply
    1,204,680x = 1,606,023 × 1,606,023
  4. Step 4: Simplify right side
    1,204,680x = 2,579,309,876,529
  5. Step 5: Solve for x
    x = 2,579,309,876,529/1,204,680
  6. Step 6: Final answer
    x = 2,141,074.71

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.