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Finding the Third Proportional to 603,389 and 894,642

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Solution

The third proportional to 603,389 and 894,642 is: 1,326,481.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,389 : 894,642 = 894,642 : x
  2. Step 2: Convert to fraction form
    603,389/894,642 = 894,642/x
  3. Step 3: Cross multiply
    603,389x = 894,642 × 894,642
  4. Step 4: Simplify right side
    603,389x = 800,384,308,164
  5. Step 5: Solve for x
    x = 800,384,308,164/603,389
  6. Step 6: Final answer
    x = 1,326,481.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.