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Finding the Third Proportional to 425,178 and 925,084

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Solution

The third proportional to 425,178 and 925,084 is: 2,012,757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,178 : 925,084 = 925,084 : x
  2. Step 2: Convert to fraction form
    425,178/925,084 = 925,084/x
  3. Step 3: Cross multiply
    425,178x = 925,084 × 925,084
  4. Step 4: Simplify right side
    425,178x = 855,780,407,056
  5. Step 5: Solve for x
    x = 855,780,407,056/425,178
  6. Step 6: Final answer
    x = 2,012,757.97

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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.