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Finding the Third Proportional to 2,284,839 and 4,963,002

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Solution

The third proportional to 2,284,839 and 4,963,002 is: 10,780,360.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284,839 : 4,963,002 = 4,963,002 : x
  2. Step 2: Convert to fraction form
    2,284,839/4,963,002 = 4,963,002/x
  3. Step 3: Cross multiply
    2,284,839x = 4,963,002 × 4,963,002
  4. Step 4: Simplify right side
    2,284,839x = 24,631,388,852,004
  5. Step 5: Solve for x
    x = 24,631,388,852,004/2,284,839
  6. Step 6: Final answer
    x = 10,780,360.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.