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Finding the Third Proportional to 968,616 and 1,976,652

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Solution

The third proportional to 968,616 and 1,976,652 is: 4,033,748.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,616 : 1,976,652 = 1,976,652 : x
  2. Step 2: Convert to fraction form
    968,616/1,976,652 = 1,976,652/x
  3. Step 3: Cross multiply
    968,616x = 1,976,652 × 1,976,652
  4. Step 4: Simplify right side
    968,616x = 3,907,153,129,104
  5. Step 5: Solve for x
    x = 3,907,153,129,104/968,616
  6. Step 6: Final answer
    x = 4,033,748.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.