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Finding the Third Proportional to 460,467 and 996,588

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Solution

The third proportional to 460,467 and 996,588 is: 2,156,913.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,467 : 996,588 = 996,588 : x
  2. Step 2: Convert to fraction form
    460,467/996,588 = 996,588/x
  3. Step 3: Cross multiply
    460,467x = 996,588 × 996,588
  4. Step 4: Simplify right side
    460,467x = 993,187,641,744
  5. Step 5: Solve for x
    x = 993,187,641,744/460,467
  6. Step 6: Final answer
    x = 2,156,913.83

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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.