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Finding the Third Proportional to 1,643,816 and 3,532,576

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Solution

The third proportional to 1,643,816 and 3,532,576 is: 7,591,538.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643,816 : 3,532,576 = 3,532,576 : x
  2. Step 2: Convert to fraction form
    1,643,816/3,532,576 = 3,532,576/x
  3. Step 3: Cross multiply
    1,643,816x = 3,532,576 × 3,532,576
  4. Step 4: Simplify right side
    1,643,816x = 12,479,093,195,776
  5. Step 5: Solve for x
    x = 12,479,093,195,776/1,643,816
  6. Step 6: Final answer
    x = 7,591,538.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.