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Finding the Third Proportional to 609,420 and 1,410,615

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Solution

The third proportional to 609,420 and 1,410,615 is: 3,265,128.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,420 : 1,410,615 = 1,410,615 : x
  2. Step 2: Convert to fraction form
    609,420/1,410,615 = 1,410,615/x
  3. Step 3: Cross multiply
    609,420x = 1,410,615 × 1,410,615
  4. Step 4: Simplify right side
    609,420x = 1,989,834,678,225
  5. Step 5: Solve for x
    x = 1,989,834,678,225/609,420
  6. Step 6: Final answer
    x = 3,265,128.61

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.