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Finding the Third Proportional to 3,302,512 and 4,650,660

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Solution

The third proportional to 3,302,512 and 4,650,660 is: 6,549,147.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302,512 : 4,650,660 = 4,650,660 : x
  2. Step 2: Convert to fraction form
    3,302,512/4,650,660 = 4,650,660/x
  3. Step 3: Cross multiply
    3,302,512x = 4,650,660 × 4,650,660
  4. Step 4: Simplify right side
    3,302,512x = 21,628,638,435,600
  5. Step 5: Solve for x
    x = 21,628,638,435,600/3,302,512
  6. Step 6: Final answer
    x = 6,549,147.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.