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Finding the Third Proportional to 460,614 and 996,677

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Solution

The third proportional to 460,614 and 996,677 is: 2,156,610.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,614 : 996,677 = 996,677 : x
  2. Step 2: Convert to fraction form
    460,614/996,677 = 996,677/x
  3. Step 3: Cross multiply
    460,614x = 996,677 × 996,677
  4. Step 4: Simplify right side
    460,614x = 993,365,042,329
  5. Step 5: Solve for x
    x = 993,365,042,329/460,614
  6. Step 6: Final answer
    x = 2,156,610.62

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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.