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Finding the Third Proportional to 736,970 and 1,603,690

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Solution

The third proportional to 736,970 and 1,603,690 is: 3,489,723.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,970 : 1,603,690 = 1,603,690 : x
  2. Step 2: Convert to fraction form
    736,970/1,603,690 = 1,603,690/x
  3. Step 3: Cross multiply
    736,970x = 1,603,690 × 1,603,690
  4. Step 4: Simplify right side
    736,970x = 2,571,821,616,100
  5. Step 5: Solve for x
    x = 2,571,821,616,100/736,970
  6. Step 6: Final answer
    x = 3,489,723.62

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