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Finding the Third Proportional to 738,000 and 1,589,256

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Solution

The third proportional to 738,000 and 1,589,256 is: 3,422,404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,000 : 1,589,256 = 1,589,256 : x
  2. Step 2: Convert to fraction form
    738,000/1,589,256 = 1,589,256/x
  3. Step 3: Cross multiply
    738,000x = 1,589,256 × 1,589,256
  4. Step 4: Simplify right side
    738,000x = 2,525,734,633,536
  5. Step 5: Solve for x
    x = 2,525,734,633,536/738,000
  6. Step 6: Final answer
    x = 3,422,404.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.