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Finding the Third Proportional to 1,582,023 and 3,276,198

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Solution

The third proportional to 1,582,023 and 3,276,198 is: 6,784,650.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582,023 : 3,276,198 = 3,276,198 : x
  2. Step 2: Convert to fraction form
    1,582,023/3,276,198 = 3,276,198/x
  3. Step 3: Cross multiply
    1,582,023x = 3,276,198 × 3,276,198
  4. Step 4: Simplify right side
    1,582,023x = 10,733,473,335,204
  5. Step 5: Solve for x
    x = 10,733,473,335,204/1,582,023
  6. Step 6: Final answer
    x = 6,784,650.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.