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Finding the Third Proportional to 1,560,069 and 2,396,874.38

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Solution

The third proportional to 1,560,069 and 2,396,874.38 is: 3,682,533.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560,069 : 2,396,874.38 = 2,396,874.38 : x
  2. Step 2: Convert to fraction form
    1,560,069/2,396,874.38 = 2,396,874.38/x
  3. Step 3: Cross multiply
    1,560,069x = 2,396,874.38 × 2,396,874.38
  4. Step 4: Simplify right side
    1,560,069x = 5,745,006,769,531.64
  5. Step 5: Solve for x
    x = 5,745,006,769,531.64/1,560,069
  6. Step 6: Final answer
    x = 3,682,533.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.