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Finding the Third Proportional to 673,817 and 1,474,234

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Solution

The third proportional to 673,817 and 1,474,234 is: 3,225,454.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,817 : 1,474,234 = 1,474,234 : x
  2. Step 2: Convert to fraction form
    673,817/1,474,234 = 1,474,234/x
  3. Step 3: Cross multiply
    673,817x = 1,474,234 × 1,474,234
  4. Step 4: Simplify right side
    673,817x = 2,173,365,886,756
  5. Step 5: Solve for x
    x = 2,173,365,886,756/673,817
  6. Step 6: Final answer
    x = 3,225,454.22

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.