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Finding the Third Proportional to 862,213 and 1,305,247

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Solution

The third proportional to 862,213 and 1,305,247 is: 1,975,926.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,213 : 1,305,247 = 1,305,247 : x
  2. Step 2: Convert to fraction form
    862,213/1,305,247 = 1,305,247/x
  3. Step 3: Cross multiply
    862,213x = 1,305,247 × 1,305,247
  4. Step 4: Simplify right side
    862,213x = 1,703,669,731,009
  5. Step 5: Solve for x
    x = 1,703,669,731,009/862,213
  6. Step 6: Final answer
    x = 1,975,926.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.