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Finding the Third Proportional to 485,936 and 1,065,456

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Solution

The third proportional to 485,936 and 1,065,456 is: 2,336,102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,936 : 1,065,456 = 1,065,456 : x
  2. Step 2: Convert to fraction form
    485,936/1,065,456 = 1,065,456/x
  3. Step 3: Cross multiply
    485,936x = 1,065,456 × 1,065,456
  4. Step 4: Simplify right side
    485,936x = 1,135,196,487,936
  5. Step 5: Solve for x
    x = 1,135,196,487,936/485,936
  6. Step 6: Final answer
    x = 2,336,102.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.