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Finding the Third Proportional to 825,699 and 1,366,554

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Solution

The third proportional to 825,699 and 1,366,554 is: 2,261,683.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,699 : 1,366,554 = 1,366,554 : x
  2. Step 2: Convert to fraction form
    825,699/1,366,554 = 1,366,554/x
  3. Step 3: Cross multiply
    825,699x = 1,366,554 × 1,366,554
  4. Step 4: Simplify right side
    825,699x = 1,867,469,834,916
  5. Step 5: Solve for x
    x = 1,867,469,834,916/825,699
  6. Step 6: Final answer
    x = 2,261,683.54

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.