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Finding the Third Proportional to 460,613 and 996,675

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Solution

The third proportional to 460,613 and 996,675 is: 2,156,606.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,613 : 996,675 = 996,675 : x
  2. Step 2: Convert to fraction form
    460,613/996,675 = 996,675/x
  3. Step 3: Cross multiply
    460,613x = 996,675 × 996,675
  4. Step 4: Simplify right side
    460,613x = 993,361,055,625
  5. Step 5: Solve for x
    x = 993,361,055,625/460,613
  6. Step 6: Final answer
    x = 2,156,606.64

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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.