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Finding the Third Proportional to 751,804.50 and 1,086,227.63

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Solution

The third proportional to 751,804.50 and 1,086,227.63 is: 1,569,411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,804.50 : 1,086,227.63 = 1,086,227.63 : x
  2. Step 2: Convert to fraction form
    751,804.50/1,086,227.63 = 1,086,227.63/x
  3. Step 3: Cross multiply
    751,804.50x = 1,086,227.63 × 1,086,227.63
  4. Step 4: Simplify right side
    751,804.50x = 1,179,890,453,313.14
  5. Step 5: Solve for x
    x = 1,179,890,453,313.14/751,804.50
  6. Step 6: Final answer
    x = 1,569,411.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.