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Finding the Third Proportional to 496,716 and 1,072,808

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Solution

The third proportional to 496,716 and 1,072,808 is: 2,317,052.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,716 : 1,072,808 = 1,072,808 : x
  2. Step 2: Convert to fraction form
    496,716/1,072,808 = 1,072,808/x
  3. Step 3: Cross multiply
    496,716x = 1,072,808 × 1,072,808
  4. Step 4: Simplify right side
    496,716x = 1,150,917,004,864
  5. Step 5: Solve for x
    x = 1,150,917,004,864/496,716
  6. Step 6: Final answer
    x = 2,317,052.41

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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.