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Finding the Third Proportional to 460,622 and 996,693

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Solution

The third proportional to 460,622 and 996,693 is: 2,156,642.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,622 : 996,693 = 996,693 : x
  2. Step 2: Convert to fraction form
    460,622/996,693 = 996,693/x
  3. Step 3: Cross multiply
    460,622x = 996,693 × 996,693
  4. Step 4: Simplify right side
    460,622x = 993,396,936,249
  5. Step 5: Solve for x
    x = 993,396,936,249/460,622
  6. Step 6: Final answer
    x = 2,156,642.40

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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.