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Finding the Third Proportional to 751,531.50 and 1,576,914.75

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Solution

The third proportional to 751,531.50 and 1,576,914.75 is: 3,308,790.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,531.50 : 1,576,914.75 = 1,576,914.75 : x
  2. Step 2: Convert to fraction form
    751,531.50/1,576,914.75 = 1,576,914.75/x
  3. Step 3: Cross multiply
    751,531.50x = 1,576,914.75 × 1,576,914.75
  4. Step 4: Simplify right side
    751,531.50x = 2,486,660,128,767.56
  5. Step 5: Solve for x
    x = 2,486,660,128,767.56/751,531.50
  6. Step 6: Final answer
    x = 3,308,790.29

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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.