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Finding the Third Proportional to 496,864 and 1,072,460

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Solution

The third proportional to 496,864 and 1,072,460 is: 2,314,859.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,864 : 1,072,460 = 1,072,460 : x
  2. Step 2: Convert to fraction form
    496,864/1,072,460 = 1,072,460/x
  3. Step 3: Cross multiply
    496,864x = 1,072,460 × 1,072,460
  4. Step 4: Simplify right side
    496,864x = 1,150,170,451,600
  5. Step 5: Solve for x
    x = 1,150,170,451,600/496,864
  6. Step 6: Final answer
    x = 2,314,859.70

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