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Finding the Third Proportional to 3,067,257 and 4,541,661

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Solution

The third proportional to 3,067,257 and 4,541,661 is: 6,724,798.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067,257 : 4,541,661 = 4,541,661 : x
  2. Step 2: Convert to fraction form
    3,067,257/4,541,661 = 4,541,661/x
  3. Step 3: Cross multiply
    3,067,257x = 4,541,661 × 4,541,661
  4. Step 4: Simplify right side
    3,067,257x = 20,626,684,638,921
  5. Step 5: Solve for x
    x = 20,626,684,638,921/3,067,257
  6. Step 6: Final answer
    x = 6,724,798.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.