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Finding the Third Proportional to 811,659 and 1,285,173

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Solution

The third proportional to 811,659 and 1,285,173 is: 2,034,930.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,659 : 1,285,173 = 1,285,173 : x
  2. Step 2: Convert to fraction form
    811,659/1,285,173 = 1,285,173/x
  3. Step 3: Cross multiply
    811,659x = 1,285,173 × 1,285,173
  4. Step 4: Simplify right side
    811,659x = 1,651,669,639,929
  5. Step 5: Solve for x
    x = 1,651,669,639,929/811,659
  6. Step 6: Final answer
    x = 2,034,930.48

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.