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Finding the Third Proportional to 824,286.94 and 1,737,133.88

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Solution

The third proportional to 824,286.94 and 1,737,133.88 is: 3,660,902.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,286.94 : 1,737,133.88 = 1,737,133.88 : x
  2. Step 2: Convert to fraction form
    824,286.94/1,737,133.88 = 1,737,133.88/x
  3. Step 3: Cross multiply
    824,286.94x = 1,737,133.88 × 1,737,133.88
  4. Step 4: Simplify right side
    824,286.94x = 3,017,634,099,672.52
  5. Step 5: Solve for x
    x = 3,017,634,099,672.52/824,286.94
  6. Step 6: Final answer
    x = 3,660,902.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.