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Finding the Third Proportional to 559,590.75 and 1,198,962

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Solution

The third proportional to 559,590.75 and 1,198,962 is: 2,568,859.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,590.75 : 1,198,962 = 1,198,962 : x
  2. Step 2: Convert to fraction form
    559,590.75/1,198,962 = 1,198,962/x
  3. Step 3: Cross multiply
    559,590.75x = 1,198,962 × 1,198,962
  4. Step 4: Simplify right side
    559,590.75x = 1,437,509,877,444
  5. Step 5: Solve for x
    x = 1,437,509,877,444/559,590.75
  6. Step 6: Final answer
    x = 2,568,859.26

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Why These Related Problems?

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