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Finding the Third Proportional to 1,399,864 and 2,998,000

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Solution

The third proportional to 1,399,864 and 2,998,000 is: 6,420,626.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399,864 : 2,998,000 = 2,998,000 : x
  2. Step 2: Convert to fraction form
    1,399,864/2,998,000 = 2,998,000/x
  3. Step 3: Cross multiply
    1,399,864x = 2,998,000 × 2,998,000
  4. Step 4: Simplify right side
    1,399,864x = 8,988,004,000,000
  5. Step 5: Solve for x
    x = 8,988,004,000,000/1,399,864
  6. Step 6: Final answer
    x = 6,420,626.58

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.