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Finding the Third Proportional to 496,720 and 1,072,816

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Solution

The third proportional to 496,720 and 1,072,816 is: 2,317,068.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,720 : 1,072,816 = 1,072,816 : x
  2. Step 2: Convert to fraction form
    496,720/1,072,816 = 1,072,816/x
  3. Step 3: Cross multiply
    496,720x = 1,072,816 × 1,072,816
  4. Step 4: Simplify right side
    496,720x = 1,150,934,169,856
  5. Step 5: Solve for x
    x = 1,150,934,169,856/496,720
  6. Step 6: Final answer
    x = 2,317,068.31

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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.