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Finding the Third Proportional to 827,216 and 1,247,736

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Solution

The third proportional to 827,216 and 1,247,736 is: 1,882,029.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,216 : 1,247,736 = 1,247,736 : x
  2. Step 2: Convert to fraction form
    827,216/1,247,736 = 1,247,736/x
  3. Step 3: Cross multiply
    827,216x = 1,247,736 × 1,247,736
  4. Step 4: Simplify right side
    827,216x = 1,556,845,125,696
  5. Step 5: Solve for x
    x = 1,556,845,125,696/827,216
  6. Step 6: Final answer
    x = 1,882,029.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.