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Finding the Third Proportional to 528,843.94 and 1,085,845.50

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Solution

The third proportional to 528,843.94 and 1,085,845.50 is: 2,229,505.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,843.94 : 1,085,845.50 = 1,085,845.50 : x
  2. Step 2: Convert to fraction form
    528,843.94/1,085,845.50 = 1,085,845.50/x
  3. Step 3: Cross multiply
    528,843.94x = 1,085,845.50 × 1,085,845.50
  4. Step 4: Simplify right side
    528,843.94x = 1,179,060,449,870.25
  5. Step 5: Solve for x
    x = 1,179,060,449,870.25/528,843.94
  6. Step 6: Final answer
    x = 2,229,505.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.