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Finding the Third Proportional to 435,500 and 937,738

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Solution

The third proportional to 435,500 and 937,738 is: 2,019,179.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,500 : 937,738 = 937,738 : x
  2. Step 2: Convert to fraction form
    435,500/937,738 = 937,738/x
  3. Step 3: Cross multiply
    435,500x = 937,738 × 937,738
  4. Step 4: Simplify right side
    435,500x = 879,352,556,644
  5. Step 5: Solve for x
    x = 879,352,556,644/435,500
  6. Step 6: Final answer
    x = 2,019,179.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.