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Finding the Third Proportional to 831,520.69 and 1,158,517.69

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Solution

The third proportional to 831,520.69 and 1,158,517.69 is: 1,614,106.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,520.69 : 1,158,517.69 = 1,158,517.69 : x
  2. Step 2: Convert to fraction form
    831,520.69/1,158,517.69 = 1,158,517.69/x
  3. Step 3: Cross multiply
    831,520.69x = 1,158,517.69 × 1,158,517.69
  4. Step 4: Simplify right side
    831,520.69x = 1,342,163,232,250.35
  5. Step 5: Solve for x
    x = 1,342,163,232,250.35/831,520.69
  6. Step 6: Final answer
    x = 1,614,106.84

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.