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Finding the Third Proportional to 2,582,034 and 5,673,644

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Solution

The third proportional to 2,582,034 and 5,673,644 is: 12,467,007.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582,034 : 5,673,644 = 5,673,644 : x
  2. Step 2: Convert to fraction form
    2,582,034/5,673,644 = 5,673,644/x
  3. Step 3: Cross multiply
    2,582,034x = 5,673,644 × 5,673,644
  4. Step 4: Simplify right side
    2,582,034x = 32,190,236,238,736
  5. Step 5: Solve for x
    x = 32,190,236,238,736/2,582,034
  6. Step 6: Final answer
    x = 12,467,007.11

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.