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Finding the Third Proportional to 599,751 and 906,771.38

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Solution

The third proportional to 599,751 and 906,771.38 is: 1,370,959.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,751 : 906,771.38 = 906,771.38 : x
  2. Step 2: Convert to fraction form
    599,751/906,771.38 = 906,771.38/x
  3. Step 3: Cross multiply
    599,751x = 906,771.38 × 906,771.38
  4. Step 4: Simplify right side
    599,751x = 822,234,326,519.39
  5. Step 5: Solve for x
    x = 822,234,326,519.39/599,751
  6. Step 6: Final answer
    x = 1,370,959.49

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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.