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Finding the Third Proportional to 1,101,096 and 2,412,142

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Solution

The third proportional to 1,101,096 and 2,412,142 is: 5,284,215.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101,096 : 2,412,142 = 2,412,142 : x
  2. Step 2: Convert to fraction form
    1,101,096/2,412,142 = 2,412,142/x
  3. Step 3: Cross multiply
    1,101,096x = 2,412,142 × 2,412,142
  4. Step 4: Simplify right side
    1,101,096x = 5,818,429,028,164
  5. Step 5: Solve for x
    x = 5,818,429,028,164/1,101,096
  6. Step 6: Final answer
    x = 5,284,215.93

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