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Finding the Third Proportional to 552,707 and 1,189,978

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Solution

The third proportional to 552,707 and 1,189,978 is: 2,562,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,707 : 1,189,978 = 1,189,978 : x
  2. Step 2: Convert to fraction form
    552,707/1,189,978 = 1,189,978/x
  3. Step 3: Cross multiply
    552,707x = 1,189,978 × 1,189,978
  4. Step 4: Simplify right side
    552,707x = 1,416,047,640,484
  5. Step 5: Solve for x
    x = 1,416,047,640,484/552,707
  6. Step 6: Final answer
    x = 2,562,022.27

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.