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Finding the Third Proportional to 2,023,037 and 4,333,916

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Solution

The third proportional to 2,023,037 and 4,333,916 is: 9,284,470.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,037 : 4,333,916 = 4,333,916 : x
  2. Step 2: Convert to fraction form
    2,023,037/4,333,916 = 4,333,916/x
  3. Step 3: Cross multiply
    2,023,037x = 4,333,916 × 4,333,916
  4. Step 4: Simplify right side
    2,023,037x = 18,782,827,895,056
  5. Step 5: Solve for x
    x = 18,782,827,895,056/2,023,037
  6. Step 6: Final answer
    x = 9,284,470.77

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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.