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Finding the Third Proportional to 789,408.75 and 1,705,093.50

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Solution

The third proportional to 789,408.75 and 1,705,093.50 is: 3,682,938.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,408.75 : 1,705,093.50 = 1,705,093.50 : x
  2. Step 2: Convert to fraction form
    789,408.75/1,705,093.50 = 1,705,093.50/x
  3. Step 3: Cross multiply
    789,408.75x = 1,705,093.50 × 1,705,093.50
  4. Step 4: Simplify right side
    789,408.75x = 2,907,343,843,742.25
  5. Step 5: Solve for x
    x = 2,907,343,843,742.25/789,408.75
  6. Step 6: Final answer
    x = 3,682,938.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.