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Finding the Third Proportional to 842,880 and 1,863,024

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Solution

The third proportional to 842,880 and 1,863,024 is: 4,117,855.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,880 : 1,863,024 = 1,863,024 : x
  2. Step 2: Convert to fraction form
    842,880/1,863,024 = 1,863,024/x
  3. Step 3: Cross multiply
    842,880x = 1,863,024 × 1,863,024
  4. Step 4: Simplify right side
    842,880x = 3,470,858,424,576
  5. Step 5: Solve for x
    x = 3,470,858,424,576/842,880
  6. Step 6: Final answer
    x = 4,117,855.95

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.