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Finding the Third Proportional to 936,990 and 2,083,564

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Solution

The third proportional to 936,990 and 2,083,564 is: 4,633,175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,990 : 2,083,564 = 2,083,564 : x
  2. Step 2: Convert to fraction form
    936,990/2,083,564 = 2,083,564/x
  3. Step 3: Cross multiply
    936,990x = 2,083,564 × 2,083,564
  4. Step 4: Simplify right side
    936,990x = 4,341,238,942,096
  5. Step 5: Solve for x
    x = 4,341,238,942,096/936,990
  6. Step 6: Final answer
    x = 4,633,175.32

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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.