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Finding the Third Proportional to 920,171 and 1,412,400

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Solution

The third proportional to 920,171 and 1,412,400 is: 2,167,938.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,171 : 1,412,400 = 1,412,400 : x
  2. Step 2: Convert to fraction form
    920,171/1,412,400 = 1,412,400/x
  3. Step 3: Cross multiply
    920,171x = 1,412,400 × 1,412,400
  4. Step 4: Simplify right side
    920,171x = 1,994,873,760,000
  5. Step 5: Solve for x
    x = 1,994,873,760,000/920,171
  6. Step 6: Final answer
    x = 2,167,938.09

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.