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Finding the Third Proportional to 905,942 and 1,974,668

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Solution

The third proportional to 905,942 and 1,974,668 is: 4,304,153.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,942 : 1,974,668 = 1,974,668 : x
  2. Step 2: Convert to fraction form
    905,942/1,974,668 = 1,974,668/x
  3. Step 3: Cross multiply
    905,942x = 1,974,668 × 1,974,668
  4. Step 4: Simplify right side
    905,942x = 3,899,313,710,224
  5. Step 5: Solve for x
    x = 3,899,313,710,224/905,942
  6. Step 6: Final answer
    x = 4,304,153.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.