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Finding the Third Proportional to 431,054 and 936,722

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Solution

The third proportional to 431,054 and 936,722 is: 2,035,587.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,054 : 936,722 = 936,722 : x
  2. Step 2: Convert to fraction form
    431,054/936,722 = 936,722/x
  3. Step 3: Cross multiply
    431,054x = 936,722 × 936,722
  4. Step 4: Simplify right side
    431,054x = 877,448,105,284
  5. Step 5: Solve for x
    x = 877,448,105,284/431,054
  6. Step 6: Final answer
    x = 2,035,587.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.