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Finding the Third Proportional to 490,137.75 and 1,074,600

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Solution

The third proportional to 490,137.75 and 1,074,600 is: 2,356,001.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,137.75 : 1,074,600 = 1,074,600 : x
  2. Step 2: Convert to fraction form
    490,137.75/1,074,600 = 1,074,600/x
  3. Step 3: Cross multiply
    490,137.75x = 1,074,600 × 1,074,600
  4. Step 4: Simplify right side
    490,137.75x = 1,154,765,160,000
  5. Step 5: Solve for x
    x = 1,154,765,160,000/490,137.75
  6. Step 6: Final answer
    x = 2,356,001.27

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Why These Related Problems?

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