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Finding the Third Proportional to 1,441,022 and 3,104,724

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Solution

The third proportional to 1,441,022 and 3,104,724 is: 6,689,218.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441,022 : 3,104,724 = 3,104,724 : x
  2. Step 2: Convert to fraction form
    1,441,022/3,104,724 = 3,104,724/x
  3. Step 3: Cross multiply
    1,441,022x = 3,104,724 × 3,104,724
  4. Step 4: Simplify right side
    1,441,022x = 9,639,311,116,176
  5. Step 5: Solve for x
    x = 9,639,311,116,176/1,441,022
  6. Step 6: Final answer
    x = 6,689,218.57

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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.