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Finding the Third Proportional to 2,193,792 and 4,891,712

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Solution

The third proportional to 2,193,792 and 4,891,712 is: 10,907,527.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193,792 : 4,891,712 = 4,891,712 : x
  2. Step 2: Convert to fraction form
    2,193,792/4,891,712 = 4,891,712/x
  3. Step 3: Cross multiply
    2,193,792x = 4,891,712 × 4,891,712
  4. Step 4: Simplify right side
    2,193,792x = 23,928,846,290,944
  5. Step 5: Solve for x
    x = 23,928,846,290,944/2,193,792
  6. Step 6: Final answer
    x = 10,907,527.37

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.