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Finding the Third Proportional to 1,204,676 and 1,606,017

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Solution

The third proportional to 1,204,676 and 1,606,017 is: 2,141,065.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,676 : 1,606,017 = 1,606,017 : x
  2. Step 2: Convert to fraction form
    1,204,676/1,606,017 = 1,606,017/x
  3. Step 3: Cross multiply
    1,204,676x = 1,606,017 × 1,606,017
  4. Step 4: Simplify right side
    1,204,676x = 2,579,290,604,289
  5. Step 5: Solve for x
    x = 2,579,290,604,289/1,204,676
  6. Step 6: Final answer
    x = 2,141,065.82

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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.