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Finding the Third Proportional to 2,324,298 and 5,034,642

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Solution

The third proportional to 2,324,298 and 5,034,642 is: 10,905,494.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324,298 : 5,034,642 = 5,034,642 : x
  2. Step 2: Convert to fraction form
    2,324,298/5,034,642 = 5,034,642/x
  3. Step 3: Cross multiply
    2,324,298x = 5,034,642 × 5,034,642
  4. Step 4: Simplify right side
    2,324,298x = 25,347,620,068,164
  5. Step 5: Solve for x
    x = 25,347,620,068,164/2,324,298
  6. Step 6: Final answer
    x = 10,905,494.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.