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Finding the Third Proportional to 425,828 and 927,256

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Solution

The third proportional to 425,828 and 927,256 is: 2,019,133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,828 : 927,256 = 927,256 : x
  2. Step 2: Convert to fraction form
    425,828/927,256 = 927,256/x
  3. Step 3: Cross multiply
    425,828x = 927,256 × 927,256
  4. Step 4: Simplify right side
    425,828x = 859,803,689,536
  5. Step 5: Solve for x
    x = 859,803,689,536/425,828
  6. Step 6: Final answer
    x = 2,019,133.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.