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Finding the Third Proportional to 696,966 and 1,431,450

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Solution

The third proportional to 696,966 and 1,431,450 is: 2,939,955.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,966 : 1,431,450 = 1,431,450 : x
  2. Step 2: Convert to fraction form
    696,966/1,431,450 = 1,431,450/x
  3. Step 3: Cross multiply
    696,966x = 1,431,450 × 1,431,450
  4. Step 4: Simplify right side
    696,966x = 2,049,049,102,500
  5. Step 5: Solve for x
    x = 2,049,049,102,500/696,966
  6. Step 6: Final answer
    x = 2,939,955.61

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.