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Finding the Third Proportional to 568,846 and 1,228,916

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Solution

The third proportional to 568,846 and 1,228,916 is: 2,654,909.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,846 : 1,228,916 = 1,228,916 : x
  2. Step 2: Convert to fraction form
    568,846/1,228,916 = 1,228,916/x
  3. Step 3: Cross multiply
    568,846x = 1,228,916 × 1,228,916
  4. Step 4: Simplify right side
    568,846x = 1,510,234,535,056
  5. Step 5: Solve for x
    x = 1,510,234,535,056/568,846
  6. Step 6: Final answer
    x = 2,654,909.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.