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Finding the Third Proportional to 738,434 and 1,589,188

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Solution

The third proportional to 738,434 and 1,589,188 is: 3,420,100.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,434 : 1,589,188 = 1,589,188 : x
  2. Step 2: Convert to fraction form
    738,434/1,589,188 = 1,589,188/x
  3. Step 3: Cross multiply
    738,434x = 1,589,188 × 1,589,188
  4. Step 4: Simplify right side
    738,434x = 2,525,518,499,344
  5. Step 5: Solve for x
    x = 2,525,518,499,344/738,434
  6. Step 6: Final answer
    x = 3,420,100.51

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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.