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Finding the Third Proportional to 905,583 and 1,968,414

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Solution

The third proportional to 905,583 and 1,968,414 is: 4,278,628.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,583 : 1,968,414 = 1,968,414 : x
  2. Step 2: Convert to fraction form
    905,583/1,968,414 = 1,968,414/x
  3. Step 3: Cross multiply
    905,583x = 1,968,414 × 1,968,414
  4. Step 4: Simplify right side
    905,583x = 3,874,653,675,396
  5. Step 5: Solve for x
    x = 3,874,653,675,396/905,583
  6. Step 6: Final answer
    x = 4,278,628.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.