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Finding the Third Proportional to 490,920 and 1,059,112

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Solution

The third proportional to 490,920 and 1,059,112 is: 2,284,930.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,920 : 1,059,112 = 1,059,112 : x
  2. Step 2: Convert to fraction form
    490,920/1,059,112 = 1,059,112/x
  3. Step 3: Cross multiply
    490,920x = 1,059,112 × 1,059,112
  4. Step 4: Simplify right side
    490,920x = 1,121,718,228,544
  5. Step 5: Solve for x
    x = 1,121,718,228,544/490,920
  6. Step 6: Final answer
    x = 2,284,930.80

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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.