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Finding the Third Proportional to 542,706.75 and 1,145,616.75

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Solution

The third proportional to 542,706.75 and 1,145,616.75 is: 2,418,318.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,706.75 : 1,145,616.75 = 1,145,616.75 : x
  2. Step 2: Convert to fraction form
    542,706.75/1,145,616.75 = 1,145,616.75/x
  3. Step 3: Cross multiply
    542,706.75x = 1,145,616.75 × 1,145,616.75
  4. Step 4: Simplify right side
    542,706.75x = 1,312,437,737,880.56
  5. Step 5: Solve for x
    x = 1,312,437,737,880.56/542,706.75
  6. Step 6: Final answer
    x = 2,418,318.43

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.