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Finding the Third Proportional to 435,717 and 938,177

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Solution

The third proportional to 435,717 and 938,177 is: 2,020,063.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,717 : 938,177 = 938,177 : x
  2. Step 2: Convert to fraction form
    435,717/938,177 = 938,177/x
  3. Step 3: Cross multiply
    435,717x = 938,177 × 938,177
  4. Step 4: Simplify right side
    435,717x = 880,176,083,329
  5. Step 5: Solve for x
    x = 880,176,083,329/435,717
  6. Step 6: Final answer
    x = 2,020,063.67

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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.