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Finding the Third Proportional to 1,197,084 and 2,584,086

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Solution

The third proportional to 1,197,084 and 2,584,086 is: 5,578,138.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,084 : 2,584,086 = 2,584,086 : x
  2. Step 2: Convert to fraction form
    1,197,084/2,584,086 = 2,584,086/x
  3. Step 3: Cross multiply
    1,197,084x = 2,584,086 × 2,584,086
  4. Step 4: Simplify right side
    1,197,084x = 6,677,500,455,396
  5. Step 5: Solve for x
    x = 6,677,500,455,396/1,197,084
  6. Step 6: Final answer
    x = 5,578,138.59

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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.