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Finding the Third Proportional to 1,898,661 and 3,867,824

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Solution

The third proportional to 1,898,661 and 3,867,824 is: 7,879,269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898,661 : 3,867,824 = 3,867,824 : x
  2. Step 2: Convert to fraction form
    1,898,661/3,867,824 = 3,867,824/x
  3. Step 3: Cross multiply
    1,898,661x = 3,867,824 × 3,867,824
  4. Step 4: Simplify right side
    1,898,661x = 14,960,062,494,976
  5. Step 5: Solve for x
    x = 14,960,062,494,976/1,898,661
  6. Step 6: Final answer
    x = 7,879,269.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.