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Finding the Third Proportional to 4,741,639 and 6,775,698

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Solution

The third proportional to 4,741,639 and 6,775,698 is: 9,682,323.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741,639 : 6,775,698 = 6,775,698 : x
  2. Step 2: Convert to fraction form
    4,741,639/6,775,698 = 6,775,698/x
  3. Step 3: Cross multiply
    4,741,639x = 6,775,698 × 6,775,698
  4. Step 4: Simplify right side
    4,741,639x = 45,910,083,387,204
  5. Step 5: Solve for x
    x = 45,910,083,387,204/4,741,639
  6. Step 6: Final answer
    x = 9,682,323.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.