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Finding the Third Proportional to 466,068 and 993,144

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Solution

The third proportional to 466,068 and 993,144 is: 2,116,289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,068 : 993,144 = 993,144 : x
  2. Step 2: Convert to fraction form
    466,068/993,144 = 993,144/x
  3. Step 3: Cross multiply
    466,068x = 993,144 × 993,144
  4. Step 4: Simplify right side
    466,068x = 986,335,004,736
  5. Step 5: Solve for x
    x = 986,335,004,736/466,068
  6. Step 6: Final answer
    x = 2,116,289.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.