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Finding the Third Proportional to 449,152 and 948,932

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Solution

The third proportional to 449,152 and 948,932 is: 2,004,826.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,152 : 948,932 = 948,932 : x
  2. Step 2: Convert to fraction form
    449,152/948,932 = 948,932/x
  3. Step 3: Cross multiply
    449,152x = 948,932 × 948,932
  4. Step 4: Simplify right side
    449,152x = 900,471,940,624
  5. Step 5: Solve for x
    x = 900,471,940,624/449,152
  6. Step 6: Final answer
    x = 2,004,826.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.