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Finding the Third Proportional to 920,183 and 1,405,185

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Solution

The third proportional to 920,183 and 1,405,185 is: 2,145,817.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,183 : 1,405,185 = 1,405,185 : x
  2. Step 2: Convert to fraction form
    920,183/1,405,185 = 1,405,185/x
  3. Step 3: Cross multiply
    920,183x = 1,405,185 × 1,405,185
  4. Step 4: Simplify right side
    920,183x = 1,974,544,884,225
  5. Step 5: Solve for x
    x = 1,974,544,884,225/920,183
  6. Step 6: Final answer
    x = 2,145,817.61

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Why These Related Problems?

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