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Finding the Third Proportional to 3,256,322 and 6,809,752

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Solution

The third proportional to 3,256,322 and 6,809,752 is: 14,240,828.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256,322 : 6,809,752 = 6,809,752 : x
  2. Step 2: Convert to fraction form
    3,256,322/6,809,752 = 6,809,752/x
  3. Step 3: Cross multiply
    3,256,322x = 6,809,752 × 6,809,752
  4. Step 4: Simplify right side
    3,256,322x = 46,372,722,301,504
  5. Step 5: Solve for x
    x = 46,372,722,301,504/3,256,322
  6. Step 6: Final answer
    x = 14,240,828.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.