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Finding the Third Proportional to 690,180.75 and 1,436,676.75

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Solution

The third proportional to 690,180.75 and 1,436,676.75 is: 2,990,579.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,180.75 : 1,436,676.75 = 1,436,676.75 : x
  2. Step 2: Convert to fraction form
    690,180.75/1,436,676.75 = 1,436,676.75/x
  3. Step 3: Cross multiply
    690,180.75x = 1,436,676.75 × 1,436,676.75
  4. Step 4: Simplify right side
    690,180.75x = 2,064,040,083,990.56
  5. Step 5: Solve for x
    x = 2,064,040,083,990.56/690,180.75
  6. Step 6: Final answer
    x = 2,990,579.04

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.