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Finding the Third Proportional to 422,336 and 879,496

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Solution

The third proportional to 422,336 and 879,496 is: 1,831,511.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,336 : 879,496 = 879,496 : x
  2. Step 2: Convert to fraction form
    422,336/879,496 = 879,496/x
  3. Step 3: Cross multiply
    422,336x = 879,496 × 879,496
  4. Step 4: Simplify right side
    422,336x = 773,513,214,016
  5. Step 5: Solve for x
    x = 773,513,214,016/422,336
  6. Step 6: Final answer
    x = 1,831,511.44

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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.