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Finding the Third Proportional to 4,229,255 and 6,809,719

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Solution

The third proportional to 4,229,255 and 6,809,719 is: 10,964,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229,255 : 6,809,719 = 6,809,719 : x
  2. Step 2: Convert to fraction form
    4,229,255/6,809,719 = 6,809,719/x
  3. Step 3: Cross multiply
    4,229,255x = 6,809,719 × 6,809,719
  4. Step 4: Simplify right side
    4,229,255x = 46,372,272,858,961
  5. Step 5: Solve for x
    x = 46,372,272,858,961/4,229,255
  6. Step 6: Final answer
    x = 10,964,643.38

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.