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Finding the Third Proportional to 420,732 and 925,575.75

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Solution

The third proportional to 420,732 and 925,575.75 is: 2,036,190.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,732 : 925,575.75 = 925,575.75 : x
  2. Step 2: Convert to fraction form
    420,732/925,575.75 = 925,575.75/x
  3. Step 3: Cross multiply
    420,732x = 925,575.75 × 925,575.75
  4. Step 4: Simplify right side
    420,732x = 856,690,468,988.06
  5. Step 5: Solve for x
    x = 856,690,468,988.06/420,732
  6. Step 6: Final answer
    x = 2,036,190.42

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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.