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Finding the Third Proportional to 984,802 and 2,142,149

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Solution

The third proportional to 984,802 and 2,142,149 is: 4,659,619.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,802 : 2,142,149 = 2,142,149 : x
  2. Step 2: Convert to fraction form
    984,802/2,142,149 = 2,142,149/x
  3. Step 3: Cross multiply
    984,802x = 2,142,149 × 2,142,149
  4. Step 4: Simplify right side
    984,802x = 4,588,802,338,201
  5. Step 5: Solve for x
    x = 4,588,802,338,201/984,802
  6. Step 6: Final answer
    x = 4,659,619.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.