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Finding the Third Proportional to 493,841.63 and 1,082,052.38

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Solution

The third proportional to 493,841.63 and 1,082,052.38 is: 2,370,876.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,841.63 : 1,082,052.38 = 1,082,052.38 : x
  2. Step 2: Convert to fraction form
    493,841.63/1,082,052.38 = 1,082,052.38/x
  3. Step 3: Cross multiply
    493,841.63x = 1,082,052.38 × 1,082,052.38
  4. Step 4: Simplify right side
    493,841.63x = 1,170,837,342,243.14
  5. Step 5: Solve for x
    x = 1,170,837,342,243.14/493,841.63
  6. Step 6: Final answer
    x = 2,370,876.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.