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Finding the Third Proportional to 490,584 and 1,059,912

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Solution

The third proportional to 490,584 and 1,059,912 is: 2,289,951.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,584 : 1,059,912 = 1,059,912 : x
  2. Step 2: Convert to fraction form
    490,584/1,059,912 = 1,059,912/x
  3. Step 3: Cross multiply
    490,584x = 1,059,912 × 1,059,912
  4. Step 4: Simplify right side
    490,584x = 1,123,413,447,744
  5. Step 5: Solve for x
    x = 1,123,413,447,744/490,584
  6. Step 6: Final answer
    x = 2,289,951.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.