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Finding the Third Proportional to 468,168 and 992,112

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Solution

The third proportional to 468,168 and 992,112 is: 2,102,420.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,168 : 992,112 = 992,112 : x
  2. Step 2: Convert to fraction form
    468,168/992,112 = 992,112/x
  3. Step 3: Cross multiply
    468,168x = 992,112 × 992,112
  4. Step 4: Simplify right side
    468,168x = 984,286,220,544
  5. Step 5: Solve for x
    x = 984,286,220,544/468,168
  6. Step 6: Final answer
    x = 2,102,420.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.