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Finding the Third Proportional to 441,354 and 944,916

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Solution

The third proportional to 441,354 and 944,916 is: 2,023,016.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,354 : 944,916 = 944,916 : x
  2. Step 2: Convert to fraction form
    441,354/944,916 = 944,916/x
  3. Step 3: Cross multiply
    441,354x = 944,916 × 944,916
  4. Step 4: Simplify right side
    441,354x = 892,866,247,056
  5. Step 5: Solve for x
    x = 892,866,247,056/441,354
  6. Step 6: Final answer
    x = 2,023,016.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.