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Finding the Third Proportional to 828,495.84 and 1,285,839.56

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Solution

The third proportional to 828,495.84 and 1,285,839.56 is: 1,995,644.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,495.84 : 1,285,839.56 = 1,285,839.56 : x
  2. Step 2: Convert to fraction form
    828,495.84/1,285,839.56 = 1,285,839.56/x
  3. Step 3: Cross multiply
    828,495.84x = 1,285,839.56 × 1,285,839.56
  4. Step 4: Simplify right side
    828,495.84x = 1,653,383,380,490.19
  5. Step 5: Solve for x
    x = 1,653,383,380,490.19/828,495.84
  6. Step 6: Final answer
    x = 1,995,644.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.