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Finding the Third Proportional to 2,965,746 and 4,448,623

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Solution

The third proportional to 2,965,746 and 4,448,623 is: 6,672,940.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965,746 : 4,448,623 = 4,448,623 : x
  2. Step 2: Convert to fraction form
    2,965,746/4,448,623 = 4,448,623/x
  3. Step 3: Cross multiply
    2,965,746x = 4,448,623 × 4,448,623
  4. Step 4: Simplify right side
    2,965,746x = 19,790,246,596,129
  5. Step 5: Solve for x
    x = 19,790,246,596,129/2,965,746
  6. Step 6: Final answer
    x = 6,672,940.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.