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Finding the Third Proportional to 498,867 and 1,094,306

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Solution

The third proportional to 498,867 and 1,094,306 is: 2,400,450.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,867 : 1,094,306 = 1,094,306 : x
  2. Step 2: Convert to fraction form
    498,867/1,094,306 = 1,094,306/x
  3. Step 3: Cross multiply
    498,867x = 1,094,306 × 1,094,306
  4. Step 4: Simplify right side
    498,867x = 1,197,505,621,636
  5. Step 5: Solve for x
    x = 1,197,505,621,636/498,867
  6. Step 6: Final answer
    x = 2,400,450.66

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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.