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Finding the Third Proportional to 824,096 and 1,711,351

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Solution

The third proportional to 824,096 and 1,711,351 is: 3,553,860.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,096 : 1,711,351 = 1,711,351 : x
  2. Step 2: Convert to fraction form
    824,096/1,711,351 = 1,711,351/x
  3. Step 3: Cross multiply
    824,096x = 1,711,351 × 1,711,351
  4. Step 4: Simplify right side
    824,096x = 2,928,722,245,201
  5. Step 5: Solve for x
    x = 2,928,722,245,201/824,096
  6. Step 6: Final answer
    x = 3,553,860.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.