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Finding the Third Proportional to 3,004,206 and 6,491,748

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Solution

The third proportional to 3,004,206 and 6,491,748 is: 14,027,930.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004,206 : 6,491,748 = 6,491,748 : x
  2. Step 2: Convert to fraction form
    3,004,206/6,491,748 = 6,491,748/x
  3. Step 3: Cross multiply
    3,004,206x = 6,491,748 × 6,491,748
  4. Step 4: Simplify right side
    3,004,206x = 42,142,792,095,504
  5. Step 5: Solve for x
    x = 42,142,792,095,504/3,004,206
  6. Step 6: Final answer
    x = 14,027,930.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.