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Finding the Third Proportional to 433,956 and 914,568

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Solution

The third proportional to 433,956 and 914,568 is: 1,927,464.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,956 : 914,568 = 914,568 : x
  2. Step 2: Convert to fraction form
    433,956/914,568 = 914,568/x
  3. Step 3: Cross multiply
    433,956x = 914,568 × 914,568
  4. Step 4: Simplify right side
    433,956x = 836,434,626,624
  5. Step 5: Solve for x
    x = 836,434,626,624/433,956
  6. Step 6: Final answer
    x = 1,927,464.14

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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.