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Finding the Third Proportional to 645,832 and 996,000

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Solution

The third proportional to 645,832 and 996,000 is: 1,536,027.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,832 : 996,000 = 996,000 : x
  2. Step 2: Convert to fraction form
    645,832/996,000 = 996,000/x
  3. Step 3: Cross multiply
    645,832x = 996,000 × 996,000
  4. Step 4: Simplify right side
    645,832x = 992,016,000,000
  5. Step 5: Solve for x
    x = 992,016,000,000/645,832
  6. Step 6: Final answer
    x = 1,536,027.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.