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Finding the Third Proportional to 425,182 and 925,098

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Solution

The third proportional to 425,182 and 925,098 is: 2,012,799.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,182 : 925,098 = 925,098 : x
  2. Step 2: Convert to fraction form
    425,182/925,098 = 925,098/x
  3. Step 3: Cross multiply
    425,182x = 925,098 × 925,098
  4. Step 4: Simplify right side
    425,182x = 855,806,309,604
  5. Step 5: Solve for x
    x = 855,806,309,604/425,182
  6. Step 6: Final answer
    x = 2,012,799.95

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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.