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Finding the Third Proportional to 1,197,198 and 2,584,308

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Solution

The third proportional to 1,197,198 and 2,584,308 is: 5,578,565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,198 : 2,584,308 = 2,584,308 : x
  2. Step 2: Convert to fraction form
    1,197,198/2,584,308 = 2,584,308/x
  3. Step 3: Cross multiply
    1,197,198x = 2,584,308 × 2,584,308
  4. Step 4: Simplify right side
    1,197,198x = 6,678,647,838,864
  5. Step 5: Solve for x
    x = 6,678,647,838,864/1,197,198
  6. Step 6: Final answer
    x = 5,578,565.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.