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Finding the Third Proportional to 673,057 and 1,422,092

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Solution

The third proportional to 673,057 and 1,422,092 is: 3,004,716.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,057 : 1,422,092 = 1,422,092 : x
  2. Step 2: Convert to fraction form
    673,057/1,422,092 = 1,422,092/x
  3. Step 3: Cross multiply
    673,057x = 1,422,092 × 1,422,092
  4. Step 4: Simplify right side
    673,057x = 2,022,345,656,464
  5. Step 5: Solve for x
    x = 2,022,345,656,464/673,057
  6. Step 6: Final answer
    x = 3,004,716.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.