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Finding the Third Proportional to 1,338,096 and 2,886,144

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Solution

The third proportional to 1,338,096 and 2,886,144 is: 6,225,134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338,096 : 2,886,144 = 2,886,144 : x
  2. Step 2: Convert to fraction form
    1,338,096/2,886,144 = 2,886,144/x
  3. Step 3: Cross multiply
    1,338,096x = 2,886,144 × 2,886,144
  4. Step 4: Simplify right side
    1,338,096x = 8,329,827,188,736
  5. Step 5: Solve for x
    x = 8,329,827,188,736/1,338,096
  6. Step 6: Final answer
    x = 6,225,134.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.