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Finding the Third Proportional to 862,231 and 1,305,275

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Solution

The third proportional to 862,231 and 1,305,275 is: 1,975,970.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,231 : 1,305,275 = 1,305,275 : x
  2. Step 2: Convert to fraction form
    862,231/1,305,275 = 1,305,275/x
  3. Step 3: Cross multiply
    862,231x = 1,305,275 × 1,305,275
  4. Step 4: Simplify right side
    862,231x = 1,703,742,825,625
  5. Step 5: Solve for x
    x = 1,703,742,825,625/862,231
  6. Step 6: Final answer
    x = 1,975,970.27

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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.