Scottish footpaths - an amazing fact

In the magazine, "Scotland in Trust", for Spring 2013, there is an entry:

"Fact File: 1,283,380 people use footpaths on the National Trust for Scotland's outdoor sires each year."

A challenge: how would you measure the number of people using footpaths in one year given that the National Trust for Scotland has 400 miles of footpaths across its properties and managed areas?  And how would you do it to the same accuracy as this statistic - i.e. an accuracy of +/- 0.0004%

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