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Finding the Third Proportional to 422,747 and 996,933

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Solution

The third proportional to 422,747 and 996,933 is: 2,350,993.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,747 : 996,933 = 996,933 : x
  2. Step 2: Convert to fraction form
    422,747/996,933 = 996,933/x
  3. Step 3: Cross multiply
    422,747x = 996,933 × 996,933
  4. Step 4: Simplify right side
    422,747x = 993,875,406,489
  5. Step 5: Solve for x
    x = 993,875,406,489/422,747
  6. Step 6: Final answer
    x = 2,350,993.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.