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Finding the Third Proportional to 4,616,966 and 6,899,601

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Solution

The third proportional to 4,616,966 and 6,899,601 is: 10,310,774.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616,966 : 6,899,601 = 6,899,601 : x
  2. Step 2: Convert to fraction form
    4,616,966/6,899,601 = 6,899,601/x
  3. Step 3: Cross multiply
    4,616,966x = 6,899,601 × 6,899,601
  4. Step 4: Simplify right side
    4,616,966x = 47,604,493,959,201
  5. Step 5: Solve for x
    x = 47,604,493,959,201/4,616,966
  6. Step 6: Final answer
    x = 10,310,774.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.