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Finding the Third Proportional to 559,590.19 and 1,198,958.63

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Solution

The third proportional to 559,590.19 and 1,198,958.63 is: 2,568,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,590.19 : 1,198,958.63 = 1,198,958.63 : x
  2. Step 2: Convert to fraction form
    559,590.19/1,198,958.63 = 1,198,958.63/x
  3. Step 3: Cross multiply
    559,590.19x = 1,198,958.63 × 1,198,958.63
  4. Step 4: Simplify right side
    559,590.19x = 1,437,501,784,461.89
  5. Step 5: Solve for x
    x = 1,437,501,784,461.89/559,590.19
  6. Step 6: Final answer
    x = 2,568,847.38

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