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Finding the Third Proportional to 814,309 and 1,789,227

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Solution

The third proportional to 814,309 and 1,789,227 is: 3,931,349.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,309 : 1,789,227 = 1,789,227 : x
  2. Step 2: Convert to fraction form
    814,309/1,789,227 = 1,789,227/x
  3. Step 3: Cross multiply
    814,309x = 1,789,227 × 1,789,227
  4. Step 4: Simplify right side
    814,309x = 3,201,333,257,529
  5. Step 5: Solve for x
    x = 3,201,333,257,529/814,309
  6. Step 6: Final answer
    x = 3,931,349.47

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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.