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Finding the Third Proportional to 496,873 and 1,072,424

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Solution

The third proportional to 496,873 and 1,072,424 is: 2,314,662.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,873 : 1,072,424 = 1,072,424 : x
  2. Step 2: Convert to fraction form
    496,873/1,072,424 = 1,072,424/x
  3. Step 3: Cross multiply
    496,873x = 1,072,424 × 1,072,424
  4. Step 4: Simplify right side
    496,873x = 1,150,093,235,776
  5. Step 5: Solve for x
    x = 1,150,093,235,776/496,873
  6. Step 6: Final answer
    x = 2,314,662.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.