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Finding the Third Proportional to 2,107,024 and 4,634,144

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Solution

The third proportional to 2,107,024 and 4,634,144 is: 10,192,238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107,024 : 4,634,144 = 4,634,144 : x
  2. Step 2: Convert to fraction form
    2,107,024/4,634,144 = 4,634,144/x
  3. Step 3: Cross multiply
    2,107,024x = 4,634,144 × 4,634,144
  4. Step 4: Simplify right side
    2,107,024x = 21,475,290,612,736
  5. Step 5: Solve for x
    x = 21,475,290,612,736/2,107,024
  6. Step 6: Final answer
    x = 10,192,238.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.