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Finding the Third Proportional to 460,623 and 996,695

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Solution

The third proportional to 460,623 and 996,695 is: 2,156,646.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,623 : 996,695 = 996,695 : x
  2. Step 2: Convert to fraction form
    460,623/996,695 = 996,695/x
  3. Step 3: Cross multiply
    460,623x = 996,695 × 996,695
  4. Step 4: Simplify right side
    460,623x = 993,400,923,025
  5. Step 5: Solve for x
    x = 993,400,923,025/460,623
  6. Step 6: Final answer
    x = 2,156,646.37

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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.