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Finding the Third Proportional to 490,004.44 and 1,055,080.69

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Solution

The third proportional to 490,004.44 and 1,055,080.69 is: 2,271,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,004.44 : 1,055,080.69 = 1,055,080.69 : x
  2. Step 2: Convert to fraction form
    490,004.44/1,055,080.69 = 1,055,080.69/x
  3. Step 3: Cross multiply
    490,004.44x = 1,055,080.69 × 1,055,080.69
  4. Step 4: Simplify right side
    490,004.44x = 1,113,195,257,135.47
  5. Step 5: Solve for x
    x = 1,113,195,257,135.47/490,004.44
  6. Step 6: Final answer
    x = 2,271,806.48

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Why These Related Problems?

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