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Finding the Third Proportional to 468,274 and 992,276

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Solution

The third proportional to 468,274 and 992,276 is: 2,102,640.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,274 : 992,276 = 992,276 : x
  2. Step 2: Convert to fraction form
    468,274/992,276 = 992,276/x
  3. Step 3: Cross multiply
    468,274x = 992,276 × 992,276
  4. Step 4: Simplify right side
    468,274x = 984,611,660,176
  5. Step 5: Solve for x
    x = 984,611,660,176/468,274
  6. Step 6: Final answer
    x = 2,102,640.04

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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.