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Finding the Third Proportional to 466,504 and 996,970

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Solution

The third proportional to 466,504 and 996,970 is: 2,130,633.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,504 : 996,970 = 996,970 : x
  2. Step 2: Convert to fraction form
    466,504/996,970 = 996,970/x
  3. Step 3: Cross multiply
    466,504x = 996,970 × 996,970
  4. Step 4: Simplify right side
    466,504x = 993,949,180,900
  5. Step 5: Solve for x
    x = 993,949,180,900/466,504
  6. Step 6: Final answer
    x = 2,130,633.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.