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Finding the Third Proportional to 619,201.13 and 985,083.19

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Solution

The third proportional to 619,201.13 and 985,083.19 is: 1,567,162.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,201.13 : 985,083.19 = 985,083.19 : x
  2. Step 2: Convert to fraction form
    619,201.13/985,083.19 = 985,083.19/x
  3. Step 3: Cross multiply
    619,201.13x = 985,083.19 × 985,083.19
  4. Step 4: Simplify right side
    619,201.13x = 970,388,886,295.16
  5. Step 5: Solve for x
    x = 970,388,886,295.16/619,201.13
  6. Step 6: Final answer
    x = 1,567,162.67

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.