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Finding the Third Proportional to 906,962 and 1,311,082

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Solution

The third proportional to 906,962 and 1,311,082 is: 1,895,267.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,962 : 1,311,082 = 1,311,082 : x
  2. Step 2: Convert to fraction form
    906,962/1,311,082 = 1,311,082/x
  3. Step 3: Cross multiply
    906,962x = 1,311,082 × 1,311,082
  4. Step 4: Simplify right side
    906,962x = 1,718,936,010,724
  5. Step 5: Solve for x
    x = 1,718,936,010,724/906,962
  6. Step 6: Final answer
    x = 1,895,267.95

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.