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Finding the Third Proportional to 2,523,832 and 5,504,414

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Solution

The third proportional to 2,523,832 and 5,504,414 is: 12,004,988.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523,832 : 5,504,414 = 5,504,414 : x
  2. Step 2: Convert to fraction form
    2,523,832/5,504,414 = 5,504,414/x
  3. Step 3: Cross multiply
    2,523,832x = 5,504,414 × 5,504,414
  4. Step 4: Simplify right side
    2,523,832x = 30,298,573,483,396
  5. Step 5: Solve for x
    x = 30,298,573,483,396/2,523,832
  6. Step 6: Final answer
    x = 12,004,988.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.