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Finding the Third Proportional to 559,595 and 1,198,969

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Solution

The third proportional to 559,595 and 1,198,969 is: 2,568,869.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,595 : 1,198,969 = 1,198,969 : x
  2. Step 2: Convert to fraction form
    559,595/1,198,969 = 1,198,969/x
  3. Step 3: Cross multiply
    559,595x = 1,198,969 × 1,198,969
  4. Step 4: Simplify right side
    559,595x = 1,437,526,662,961
  5. Step 5: Solve for x
    x = 1,437,526,662,961/559,595
  6. Step 6: Final answer
    x = 2,568,869.74

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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.