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Finding the Third Proportional to 836,921 and 1,074,589

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Solution

The third proportional to 836,921 and 1,074,589 is: 1,379,749.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,921 : 1,074,589 = 1,074,589 : x
  2. Step 2: Convert to fraction form
    836,921/1,074,589 = 1,074,589/x
  3. Step 3: Cross multiply
    836,921x = 1,074,589 × 1,074,589
  4. Step 4: Simplify right side
    836,921x = 1,154,741,518,921
  5. Step 5: Solve for x
    x = 1,154,741,518,921/836,921
  6. Step 6: Final answer
    x = 1,379,749.72

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.