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Finding the Third Proportional to 701,709.75 and 1,086,099.75

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Solution

The third proportional to 701,709.75 and 1,086,099.75 is: 1,681,054.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,709.75 : 1,086,099.75 = 1,086,099.75 : x
  2. Step 2: Convert to fraction form
    701,709.75/1,086,099.75 = 1,086,099.75/x
  3. Step 3: Cross multiply
    701,709.75x = 1,086,099.75 × 1,086,099.75
  4. Step 4: Simplify right side
    701,709.75x = 1,179,612,666,950.06
  5. Step 5: Solve for x
    x = 1,179,612,666,950.06/701,709.75
  6. Step 6: Final answer
    x = 1,681,054.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.