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Finding the Third Proportional to 828,063 and 1,690,956

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Solution

The third proportional to 828,063 and 1,690,956 is: 3,453,037.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,063 : 1,690,956 = 1,690,956 : x
  2. Step 2: Convert to fraction form
    828,063/1,690,956 = 1,690,956/x
  3. Step 3: Cross multiply
    828,063x = 1,690,956 × 1,690,956
  4. Step 4: Simplify right side
    828,063x = 2,859,332,193,936
  5. Step 5: Solve for x
    x = 2,859,332,193,936/828,063
  6. Step 6: Final answer
    x = 3,453,037.02

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.