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Finding the Third Proportional to 435,722 and 938,186

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Solution

The third proportional to 435,722 and 938,186 is: 2,020,079.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,722 : 938,186 = 938,186 : x
  2. Step 2: Convert to fraction form
    435,722/938,186 = 938,186/x
  3. Step 3: Cross multiply
    435,722x = 938,186 × 938,186
  4. Step 4: Simplify right side
    435,722x = 880,192,970,596
  5. Step 5: Solve for x
    x = 880,192,970,596/435,722
  6. Step 6: Final answer
    x = 2,020,079.25

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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.