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Finding the Third Proportional to 539,886 and 1,181,467.50

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Solution

The third proportional to 539,886 and 1,181,467.50 is: 2,585,481.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,886 : 1,181,467.50 = 1,181,467.50 : x
  2. Step 2: Convert to fraction form
    539,886/1,181,467.50 = 1,181,467.50/x
  3. Step 3: Cross multiply
    539,886x = 1,181,467.50 × 1,181,467.50
  4. Step 4: Simplify right side
    539,886x = 1,395,865,453,556.25
  5. Step 5: Solve for x
    x = 1,395,865,453,556.25/539,886
  6. Step 6: Final answer
    x = 2,585,481.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.