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Finding the Third Proportional to 936,976 and 2,083,536

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Solution

The third proportional to 936,976 and 2,083,536 is: 4,633,120.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,976 : 2,083,536 = 2,083,536 : x
  2. Step 2: Convert to fraction form
    936,976/2,083,536 = 2,083,536/x
  3. Step 3: Cross multiply
    936,976x = 2,083,536 × 2,083,536
  4. Step 4: Simplify right side
    936,976x = 4,341,122,263,296
  5. Step 5: Solve for x
    x = 4,341,122,263,296/936,976
  6. Step 6: Final answer
    x = 4,633,120.02

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.