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Finding the Third Proportional to 461,530 and 996,871

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Solution

The third proportional to 461,530 and 996,871 is: 2,153,168.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,530 : 996,871 = 996,871 : x
  2. Step 2: Convert to fraction form
    461,530/996,871 = 996,871/x
  3. Step 3: Cross multiply
    461,530x = 996,871 × 996,871
  4. Step 4: Simplify right side
    461,530x = 993,751,790,641
  5. Step 5: Solve for x
    x = 993,751,790,641/461,530
  6. Step 6: Final answer
    x = 2,153,168.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.