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Finding the Third Proportional to 496,722.50 and 1,072,843

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Solution

The third proportional to 496,722.50 and 1,072,843 is: 2,317,173.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,722.50 : 1,072,843 = 1,072,843 : x
  2. Step 2: Convert to fraction form
    496,722.50/1,072,843 = 1,072,843/x
  3. Step 3: Cross multiply
    496,722.50x = 1,072,843 × 1,072,843
  4. Step 4: Simplify right side
    496,722.50x = 1,150,992,102,649
  5. Step 5: Solve for x
    x = 1,150,992,102,649/496,722.50
  6. Step 6: Final answer
    x = 2,317,173.28

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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.