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Finding the Third Proportional to 496,724 and 1,072,846

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Solution

The third proportional to 496,724 and 1,072,846 is: 2,317,179.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,724 : 1,072,846 = 1,072,846 : x
  2. Step 2: Convert to fraction form
    496,724/1,072,846 = 1,072,846/x
  3. Step 3: Cross multiply
    496,724x = 1,072,846 × 1,072,846
  4. Step 4: Simplify right side
    496,724x = 1,150,998,539,716
  5. Step 5: Solve for x
    x = 1,150,998,539,716/496,724
  6. Step 6: Final answer
    x = 2,317,179.24

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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.