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Finding the Third Proportional to 2,380,984 and 4,997,824

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Solution

The third proportional to 2,380,984 and 4,997,824 is: 10,490,723.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380,984 : 4,997,824 = 4,997,824 : x
  2. Step 2: Convert to fraction form
    2,380,984/4,997,824 = 4,997,824/x
  3. Step 3: Cross multiply
    2,380,984x = 4,997,824 × 4,997,824
  4. Step 4: Simplify right side
    2,380,984x = 24,978,244,734,976
  5. Step 5: Solve for x
    x = 24,978,244,734,976/2,380,984
  6. Step 6: Final answer
    x = 10,490,723.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.