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Finding the Third Proportional to 2,182,844.75 and 4,591,914.50

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Solution

The third proportional to 2,182,844.75 and 4,591,914.50 is: 9,659,724.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,844.75 : 4,591,914.50 = 4,591,914.50 : x
  2. Step 2: Convert to fraction form
    2,182,844.75/4,591,914.50 = 4,591,914.50/x
  3. Step 3: Cross multiply
    2,182,844.75x = 4,591,914.50 × 4,591,914.50
  4. Step 4: Simplify right side
    2,182,844.75x = 21,085,678,775,310.25
  5. Step 5: Solve for x
    x = 21,085,678,775,310.25/2,182,844.75
  6. Step 6: Final answer
    x = 9,659,724.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.