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Finding the Third Proportional to 460,620 and 996,689

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Solution

The third proportional to 460,620 and 996,689 is: 2,156,634.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,620 : 996,689 = 996,689 : x
  2. Step 2: Convert to fraction form
    460,620/996,689 = 996,689/x
  3. Step 3: Cross multiply
    460,620x = 996,689 × 996,689
  4. Step 4: Simplify right side
    460,620x = 993,388,962,721
  5. Step 5: Solve for x
    x = 993,388,962,721/460,620
  6. Step 6: Final answer
    x = 2,156,634.46

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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.