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Finding the Third Proportional to 735,882 and 1,589,880

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Solution

The third proportional to 735,882 and 1,589,880 is: 3,434,950.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,882 : 1,589,880 = 1,589,880 : x
  2. Step 2: Convert to fraction form
    735,882/1,589,880 = 1,589,880/x
  3. Step 3: Cross multiply
    735,882x = 1,589,880 × 1,589,880
  4. Step 4: Simplify right side
    735,882x = 2,527,718,414,400
  5. Step 5: Solve for x
    x = 2,527,718,414,400/735,882
  6. Step 6: Final answer
    x = 3,434,950.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.