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Finding the Third Proportional to 419,796 and 901,800

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Solution

The third proportional to 419,796 and 901,800 is: 1,937,234.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,796 : 901,800 = 901,800 : x
  2. Step 2: Convert to fraction form
    419,796/901,800 = 901,800/x
  3. Step 3: Cross multiply
    419,796x = 901,800 × 901,800
  4. Step 4: Simplify right side
    419,796x = 813,243,240,000
  5. Step 5: Solve for x
    x = 813,243,240,000/419,796
  6. Step 6: Final answer
    x = 1,937,234.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.