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Finding the Third Proportional to 460,626 and 996,701

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Solution

The third proportional to 460,626 and 996,701 is: 2,156,658.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,626 : 996,701 = 996,701 : x
  2. Step 2: Convert to fraction form
    460,626/996,701 = 996,701/x
  3. Step 3: Cross multiply
    460,626x = 996,701 × 996,701
  4. Step 4: Simplify right side
    460,626x = 993,412,883,401
  5. Step 5: Solve for x
    x = 993,412,883,401/460,626
  6. Step 6: Final answer
    x = 2,156,658.29

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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.