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Finding the Third Proportional to 460,647 and 996,747

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Solution

The third proportional to 460,647 and 996,747 is: 2,156,759.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,647 : 996,747 = 996,747 : x
  2. Step 2: Convert to fraction form
    460,647/996,747 = 996,747/x
  3. Step 3: Cross multiply
    460,647x = 996,747 × 996,747
  4. Step 4: Simplify right side
    460,647x = 993,504,582,009
  5. Step 5: Solve for x
    x = 993,504,582,009/460,647
  6. Step 6: Final answer
    x = 2,156,759.04

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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.