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Finding the Third Proportional to 820,266.75 and 1,766,259

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Solution

The third proportional to 820,266.75 and 1,766,259 is: 3,803,239.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,266.75 : 1,766,259 = 1,766,259 : x
  2. Step 2: Convert to fraction form
    820,266.75/1,766,259 = 1,766,259/x
  3. Step 3: Cross multiply
    820,266.75x = 1,766,259 × 1,766,259
  4. Step 4: Simplify right side
    820,266.75x = 3,119,670,855,081
  5. Step 5: Solve for x
    x = 3,119,670,855,081/820,266.75
  6. Step 6: Final answer
    x = 3,803,239.44

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.