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Finding the Third Proportional to 498,825 and 1,090,962

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Solution

The third proportional to 498,825 and 1,090,962 is: 2,386,003.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,825 : 1,090,962 = 1,090,962 : x
  2. Step 2: Convert to fraction form
    498,825/1,090,962 = 1,090,962/x
  3. Step 3: Cross multiply
    498,825x = 1,090,962 × 1,090,962
  4. Step 4: Simplify right side
    498,825x = 1,190,198,085,444
  5. Step 5: Solve for x
    x = 1,190,198,085,444/498,825
  6. Step 6: Final answer
    x = 2,386,003.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.