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Finding the Third Proportional to 496,774 and 1,072,278

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Solution

The third proportional to 496,774 and 1,072,278 is: 2,314,493.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,774 : 1,072,278 = 1,072,278 : x
  2. Step 2: Convert to fraction form
    496,774/1,072,278 = 1,072,278/x
  3. Step 3: Cross multiply
    496,774x = 1,072,278 × 1,072,278
  4. Step 4: Simplify right side
    496,774x = 1,149,780,109,284
  5. Step 5: Solve for x
    x = 1,149,780,109,284/496,774
  6. Step 6: Final answer
    x = 2,314,493.33

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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.