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Finding the Third Proportional to 420,914 and 925,902.50

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Solution

The third proportional to 420,914 and 925,902.50 is: 2,036,747.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,914 : 925,902.50 = 925,902.50 : x
  2. Step 2: Convert to fraction form
    420,914/925,902.50 = 925,902.50/x
  3. Step 3: Cross multiply
    420,914x = 925,902.50 × 925,902.50
  4. Step 4: Simplify right side
    420,914x = 857,295,439,506.25
  5. Step 5: Solve for x
    x = 857,295,439,506.25/420,914
  6. Step 6: Final answer
    x = 2,036,747.27

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