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Finding the Third Proportional to 2,111,072 and 4,633,177

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Solution

The third proportional to 2,111,072 and 4,633,177 is: 10,168,449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111,072 : 4,633,177 = 4,633,177 : x
  2. Step 2: Convert to fraction form
    2,111,072/4,633,177 = 4,633,177/x
  3. Step 3: Cross multiply
    2,111,072x = 4,633,177 × 4,633,177
  4. Step 4: Simplify right side
    2,111,072x = 21,466,329,113,329
  5. Step 5: Solve for x
    x = 21,466,329,113,329/2,111,072
  6. Step 6: Final answer
    x = 10,168,449.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.