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Finding the Third Proportional to 1,081,960 and 1,684,176

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Solution

The third proportional to 1,081,960 and 1,684,176 is: 2,621,583.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081,960 : 1,684,176 = 1,684,176 : x
  2. Step 2: Convert to fraction form
    1,081,960/1,684,176 = 1,684,176/x
  3. Step 3: Cross multiply
    1,081,960x = 1,684,176 × 1,684,176
  4. Step 4: Simplify right side
    1,081,960x = 2,836,448,798,976
  5. Step 5: Solve for x
    x = 2,836,448,798,976/1,081,960
  6. Step 6: Final answer
    x = 2,621,583.79

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.