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Finding the Third Proportional to 659,823 and 1,412,958

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Solution

The third proportional to 659,823 and 1,412,958 is: 3,025,736.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,823 : 1,412,958 = 1,412,958 : x
  2. Step 2: Convert to fraction form
    659,823/1,412,958 = 1,412,958/x
  3. Step 3: Cross multiply
    659,823x = 1,412,958 × 1,412,958
  4. Step 4: Simplify right side
    659,823x = 1,996,450,309,764
  5. Step 5: Solve for x
    x = 1,996,450,309,764/659,823
  6. Step 6: Final answer
    x = 3,025,736.16

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.