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Finding the Third Proportional to 734,406 and 1,603,596

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Solution

The third proportional to 734,406 and 1,603,596 is: 3,501,496.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,406 : 1,603,596 = 1,603,596 : x
  2. Step 2: Convert to fraction form
    734,406/1,603,596 = 1,603,596/x
  3. Step 3: Cross multiply
    734,406x = 1,603,596 × 1,603,596
  4. Step 4: Simplify right side
    734,406x = 2,571,520,131,216
  5. Step 5: Solve for x
    x = 2,571,520,131,216/734,406
  6. Step 6: Final answer
    x = 3,501,496.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.