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Finding the Third Proportional to 425,256 and 911,568

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Solution

The third proportional to 425,256 and 911,568 is: 1,954,014.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,256 : 911,568 = 911,568 : x
  2. Step 2: Convert to fraction form
    425,256/911,568 = 911,568/x
  3. Step 3: Cross multiply
    425,256x = 911,568 × 911,568
  4. Step 4: Simplify right side
    425,256x = 830,956,218,624
  5. Step 5: Solve for x
    x = 830,956,218,624/425,256
  6. Step 6: Final answer
    x = 1,954,014.10

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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.