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Finding the Third Proportional to 4,616,949 and 6,899,583

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Solution

The third proportional to 4,616,949 and 6,899,583 is: 10,310,758.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616,949 : 6,899,583 = 6,899,583 : x
  2. Step 2: Convert to fraction form
    4,616,949/6,899,583 = 6,899,583/x
  3. Step 3: Cross multiply
    4,616,949x = 6,899,583 × 6,899,583
  4. Step 4: Simplify right side
    4,616,949x = 47,604,245,573,889
  5. Step 5: Solve for x
    x = 47,604,245,573,889/4,616,949
  6. Step 6: Final answer
    x = 10,310,758.38

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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.