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Finding the Third Proportional to 1,119,584 and 1,684,992

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Solution

The third proportional to 1,119,584 and 1,684,992 is: 2,535,940.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119,584 : 1,684,992 = 1,684,992 : x
  2. Step 2: Convert to fraction form
    1,119,584/1,684,992 = 1,684,992/x
  3. Step 3: Cross multiply
    1,119,584x = 1,684,992 × 1,684,992
  4. Step 4: Simplify right side
    1,119,584x = 2,839,198,040,064
  5. Step 5: Solve for x
    x = 2,839,198,040,064/1,119,584
  6. Step 6: Final answer
    x = 2,535,940.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.