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Finding the Third Proportional to 2,102,208 and 2,912,142

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Solution

The third proportional to 2,102,208 and 2,912,142 is: 4,034,125.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,208 : 2,912,142 = 2,912,142 : x
  2. Step 2: Convert to fraction form
    2,102,208/2,912,142 = 2,912,142/x
  3. Step 3: Cross multiply
    2,102,208x = 2,912,142 × 2,912,142
  4. Step 4: Simplify right side
    2,102,208x = 8,480,571,028,164
  5. Step 5: Solve for x
    x = 8,480,571,028,164/2,102,208
  6. Step 6: Final answer
    x = 4,034,125.56

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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.