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Finding the Third Proportional to 923,736 and 2,158,264

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Solution

The third proportional to 923,736 and 2,158,264 is: 5,042,678.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,736 : 2,158,264 = 2,158,264 : x
  2. Step 2: Convert to fraction form
    923,736/2,158,264 = 2,158,264/x
  3. Step 3: Cross multiply
    923,736x = 2,158,264 × 2,158,264
  4. Step 4: Simplify right side
    923,736x = 4,658,103,493,696
  5. Step 5: Solve for x
    x = 4,658,103,493,696/923,736
  6. Step 6: Final answer
    x = 5,042,678.31

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.