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Finding the Third Proportional to 460,616 and 996,681

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Solution

The third proportional to 460,616 and 996,681 is: 2,156,618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,616 : 996,681 = 996,681 : x
  2. Step 2: Convert to fraction form
    460,616/996,681 = 996,681/x
  3. Step 3: Cross multiply
    460,616x = 996,681 × 996,681
  4. Step 4: Simplify right side
    460,616x = 993,373,015,761
  5. Step 5: Solve for x
    x = 993,373,015,761/460,616
  6. Step 6: Final answer
    x = 2,156,618.56

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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.