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Finding the Third Proportional to 828,684 and 1,279,656

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Solution

The third proportional to 828,684 and 1,279,656 is: 1,976,048.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,684 : 1,279,656 = 1,279,656 : x
  2. Step 2: Convert to fraction form
    828,684/1,279,656 = 1,279,656/x
  3. Step 3: Cross multiply
    828,684x = 1,279,656 × 1,279,656
  4. Step 4: Simplify right side
    828,684x = 1,637,519,478,336
  5. Step 5: Solve for x
    x = 1,637,519,478,336/828,684
  6. Step 6: Final answer
    x = 1,976,048.14

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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.