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Finding the Third Proportional to 493,674 and 1,062,080

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Solution

The third proportional to 493,674 and 1,062,080 is: 2,284,936.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,674 : 1,062,080 = 1,062,080 : x
  2. Step 2: Convert to fraction form
    493,674/1,062,080 = 1,062,080/x
  3. Step 3: Cross multiply
    493,674x = 1,062,080 × 1,062,080
  4. Step 4: Simplify right side
    493,674x = 1,128,013,926,400
  5. Step 5: Solve for x
    x = 1,128,013,926,400/493,674
  6. Step 6: Final answer
    x = 2,284,936.87

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.