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Finding the Third Proportional to 736,966 and 1,603,682

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Solution

The third proportional to 736,966 and 1,603,682 is: 3,489,707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,966 : 1,603,682 = 1,603,682 : x
  2. Step 2: Convert to fraction form
    736,966/1,603,682 = 1,603,682/x
  3. Step 3: Cross multiply
    736,966x = 1,603,682 × 1,603,682
  4. Step 4: Simplify right side
    736,966x = 2,571,795,957,124
  5. Step 5: Solve for x
    x = 2,571,795,957,124/736,966
  6. Step 6: Final answer
    x = 3,489,707.74

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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.