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Finding the Third Proportional to 906,037 and 1,269,969

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Solution

The third proportional to 906,037 and 1,269,969 is: 1,780,083.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,037 : 1,269,969 = 1,269,969 : x
  2. Step 2: Convert to fraction form
    906,037/1,269,969 = 1,269,969/x
  3. Step 3: Cross multiply
    906,037x = 1,269,969 × 1,269,969
  4. Step 4: Simplify right side
    906,037x = 1,612,821,260,961
  5. Step 5: Solve for x
    x = 1,612,821,260,961/906,037
  6. Step 6: Final answer
    x = 1,780,083.22

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.