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Finding the Third Proportional to 1,082,976 and 2,376,000

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Solution

The third proportional to 1,082,976 and 2,376,000 is: 5,212,835.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,976 : 2,376,000 = 2,376,000 : x
  2. Step 2: Convert to fraction form
    1,082,976/2,376,000 = 2,376,000/x
  3. Step 3: Cross multiply
    1,082,976x = 2,376,000 × 2,376,000
  4. Step 4: Simplify right side
    1,082,976x = 5,645,376,000,000
  5. Step 5: Solve for x
    x = 5,645,376,000,000/1,082,976
  6. Step 6: Final answer
    x = 5,212,835.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.