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Finding the Third Proportional to 591,048 and 936,054

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Solution

The third proportional to 591,048 and 936,054 is: 1,482,446.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,048 : 936,054 = 936,054 : x
  2. Step 2: Convert to fraction form
    591,048/936,054 = 936,054/x
  3. Step 3: Cross multiply
    591,048x = 936,054 × 936,054
  4. Step 4: Simplify right side
    591,048x = 876,197,090,916
  5. Step 5: Solve for x
    x = 876,197,090,916/591,048
  6. Step 6: Final answer
    x = 1,482,446.59

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.