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Finding the Third Proportional to 828,799 and 1,279,809

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Solution

The third proportional to 828,799 and 1,279,809 is: 1,976,246.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,799 : 1,279,809 = 1,279,809 : x
  2. Step 2: Convert to fraction form
    828,799/1,279,809 = 1,279,809/x
  3. Step 3: Cross multiply
    828,799x = 1,279,809 × 1,279,809
  4. Step 4: Simplify right side
    828,799x = 1,637,911,076,481
  5. Step 5: Solve for x
    x = 1,637,911,076,481/828,799
  6. Step 6: Final answer
    x = 1,976,246.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.