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Finding the Third Proportional to 548,998 and 1,189,634

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Solution

The third proportional to 548,998 and 1,189,634 is: 2,577,840.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,998 : 1,189,634 = 1,189,634 : x
  2. Step 2: Convert to fraction form
    548,998/1,189,634 = 1,189,634/x
  3. Step 3: Cross multiply
    548,998x = 1,189,634 × 1,189,634
  4. Step 4: Simplify right side
    548,998x = 1,415,229,053,956
  5. Step 5: Solve for x
    x = 1,415,229,053,956/548,998
  6. Step 6: Final answer
    x = 2,577,840.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.