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Finding the Third Proportional to 2,044,162 and 4,300,164

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Solution

The third proportional to 2,044,162 and 4,300,164 is: 9,045,961.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044,162 : 4,300,164 = 4,300,164 : x
  2. Step 2: Convert to fraction form
    2,044,162/4,300,164 = 4,300,164/x
  3. Step 3: Cross multiply
    2,044,162x = 4,300,164 × 4,300,164
  4. Step 4: Simplify right side
    2,044,162x = 18,491,410,426,896
  5. Step 5: Solve for x
    x = 18,491,410,426,896/2,044,162
  6. Step 6: Final answer
    x = 9,045,961.34

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.