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Finding the Third Proportional to 498,120 and 1,080,912

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Solution

The third proportional to 498,120 and 1,080,912 is: 2,345,560.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,120 : 1,080,912 = 1,080,912 : x
  2. Step 2: Convert to fraction form
    498,120/1,080,912 = 1,080,912/x
  3. Step 3: Cross multiply
    498,120x = 1,080,912 × 1,080,912
  4. Step 4: Simplify right side
    498,120x = 1,168,370,751,744
  5. Step 5: Solve for x
    x = 1,168,370,751,744/498,120
  6. Step 6: Final answer
    x = 2,345,560.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.