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Finding the Third Proportional to 420,706 and 925,551

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Solution

The third proportional to 420,706 and 925,551 is: 2,036,207.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,706 : 925,551 = 925,551 : x
  2. Step 2: Convert to fraction form
    420,706/925,551 = 925,551/x
  3. Step 3: Cross multiply
    420,706x = 925,551 × 925,551
  4. Step 4: Simplify right side
    420,706x = 856,644,653,601
  5. Step 5: Solve for x
    x = 856,644,653,601/420,706
  6. Step 6: Final answer
    x = 2,036,207.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.