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Finding the Third Proportional to 2,275,474 and 4,874,796

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Solution

The third proportional to 2,275,474 and 4,874,796 is: 10,443,378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275,474 : 4,874,796 = 4,874,796 : x
  2. Step 2: Convert to fraction form
    2,275,474/4,874,796 = 4,874,796/x
  3. Step 3: Cross multiply
    2,275,474x = 4,874,796 × 4,874,796
  4. Step 4: Simplify right side
    2,275,474x = 23,763,636,041,616
  5. Step 5: Solve for x
    x = 23,763,636,041,616/2,275,474
  6. Step 6: Final answer
    x = 10,443,378.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.