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Finding the Third Proportional to 2,523,820 and 5,504,390

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Solution

The third proportional to 2,523,820 and 5,504,390 is: 12,004,940.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523,820 : 5,504,390 = 5,504,390 : x
  2. Step 2: Convert to fraction form
    2,523,820/5,504,390 = 5,504,390/x
  3. Step 3: Cross multiply
    2,523,820x = 5,504,390 × 5,504,390
  4. Step 4: Simplify right side
    2,523,820x = 30,298,309,272,100
  5. Step 5: Solve for x
    x = 30,298,309,272,100/2,523,820
  6. Step 6: Final answer
    x = 12,004,940.63

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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.