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Finding the Third Proportional to 825,867 and 1,223,448

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Solution

The third proportional to 825,867 and 1,223,448 is: 1,812,428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,867 : 1,223,448 = 1,223,448 : x
  2. Step 2: Convert to fraction form
    825,867/1,223,448 = 1,223,448/x
  3. Step 3: Cross multiply
    825,867x = 1,223,448 × 1,223,448
  4. Step 4: Simplify right side
    825,867x = 1,496,825,008,704
  5. Step 5: Solve for x
    x = 1,496,825,008,704/825,867
  6. Step 6: Final answer
    x = 1,812,428.65

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.