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Finding the Third Proportional to 1,073,144 and 2,274,228

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Solution

The third proportional to 1,073,144 and 2,274,228 is: 4,819,588.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073,144 : 2,274,228 = 2,274,228 : x
  2. Step 2: Convert to fraction form
    1,073,144/2,274,228 = 2,274,228/x
  3. Step 3: Cross multiply
    1,073,144x = 2,274,228 × 2,274,228
  4. Step 4: Simplify right side
    1,073,144x = 5,172,112,995,984
  5. Step 5: Solve for x
    x = 5,172,112,995,984/1,073,144
  6. Step 6: Final answer
    x = 4,819,588.98

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.