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Finding the Third Proportional to 420,916 and 894,408

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Solution

The third proportional to 420,916 and 894,408 is: 1,900,535.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,916 : 894,408 = 894,408 : x
  2. Step 2: Convert to fraction form
    420,916/894,408 = 894,408/x
  3. Step 3: Cross multiply
    420,916x = 894,408 × 894,408
  4. Step 4: Simplify right side
    420,916x = 799,965,670,464
  5. Step 5: Solve for x
    x = 799,965,670,464/420,916
  6. Step 6: Final answer
    x = 1,900,535.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.