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Finding the Third Proportional to 492,717 and 1,059,085

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Solution

The third proportional to 492,717 and 1,059,085 is: 2,276,481.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,717 : 1,059,085 = 1,059,085 : x
  2. Step 2: Convert to fraction form
    492,717/1,059,085 = 1,059,085/x
  3. Step 3: Cross multiply
    492,717x = 1,059,085 × 1,059,085
  4. Step 4: Simplify right side
    492,717x = 1,121,661,037,225
  5. Step 5: Solve for x
    x = 1,121,661,037,225/492,717
  6. Step 6: Final answer
    x = 2,276,481.30

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Why These Related Problems?

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