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Finding the Third Proportional to 460,638 and 996,723

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Solution

The third proportional to 460,638 and 996,723 is: 2,156,697.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,638 : 996,723 = 996,723 : x
  2. Step 2: Convert to fraction form
    460,638/996,723 = 996,723/x
  3. Step 3: Cross multiply
    460,638x = 996,723 × 996,723
  4. Step 4: Simplify right side
    460,638x = 993,456,738,729
  5. Step 5: Solve for x
    x = 993,456,738,729/460,638
  6. Step 6: Final answer
    x = 2,156,697.32

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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.