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Finding the Third Proportional to 569,166.75 and 1,212,071.25

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Solution

The third proportional to 569,166.75 and 1,212,071.25 is: 2,581,171.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,166.75 : 1,212,071.25 = 1,212,071.25 : x
  2. Step 2: Convert to fraction form
    569,166.75/1,212,071.25 = 1,212,071.25/x
  3. Step 3: Cross multiply
    569,166.75x = 1,212,071.25 × 1,212,071.25
  4. Step 4: Simplify right side
    569,166.75x = 1,469,116,715,076.56
  5. Step 5: Solve for x
    x = 1,469,116,715,076.56/569,166.75
  6. Step 6: Final answer
    x = 2,581,171.01

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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.