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Finding the Third Proportional to 409,504 and 894,656

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Solution

The third proportional to 409,504 and 894,656 is: 1,954,582.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,504 : 894,656 = 894,656 : x
  2. Step 2: Convert to fraction form
    409,504/894,656 = 894,656/x
  3. Step 3: Cross multiply
    409,504x = 894,656 × 894,656
  4. Step 4: Simplify right side
    409,504x = 800,409,358,336
  5. Step 5: Solve for x
    x = 800,409,358,336/409,504
  6. Step 6: Final answer
    x = 1,954,582.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.