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Finding the Third Proportional to 2,102,230 and 2,912,177

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Solution

The third proportional to 2,102,230 and 2,912,177 is: 4,034,180.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,230 : 2,912,177 = 2,912,177 : x
  2. Step 2: Convert to fraction form
    2,102,230/2,912,177 = 2,912,177/x
  3. Step 3: Cross multiply
    2,102,230x = 2,912,177 × 2,912,177
  4. Step 4: Simplify right side
    2,102,230x = 8,480,774,879,329
  5. Step 5: Solve for x
    x = 8,480,774,879,329/2,102,230
  6. Step 6: Final answer
    x = 4,034,180.31

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.