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Finding the Third Proportional to 905,114.25 and 1,342,003.50

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Solution

The third proportional to 905,114.25 and 1,342,003.50 is: 1,989,774.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,114.25 : 1,342,003.50 = 1,342,003.50 : x
  2. Step 2: Convert to fraction form
    905,114.25/1,342,003.50 = 1,342,003.50/x
  3. Step 3: Cross multiply
    905,114.25x = 1,342,003.50 × 1,342,003.50
  4. Step 4: Simplify right side
    905,114.25x = 1,800,973,394,012.25
  5. Step 5: Solve for x
    x = 1,800,973,394,012.25/905,114.25
  6. Step 6: Final answer
    x = 1,989,774.65

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.