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Finding the Third Proportional to 751,074.75 and 1,670,072.63

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Solution

The third proportional to 751,074.75 and 1,670,072.63 is: 3,713,535.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,074.75 : 1,670,072.63 = 1,670,072.63 : x
  2. Step 2: Convert to fraction form
    751,074.75/1,670,072.63 = 1,670,072.63/x
  3. Step 3: Cross multiply
    751,074.75x = 1,670,072.63 × 1,670,072.63
  4. Step 4: Simplify right side
    751,074.75x = 2,789,142,572,774.39
  5. Step 5: Solve for x
    x = 2,789,142,572,774.39/751,074.75
  6. Step 6: Final answer
    x = 3,713,535.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.