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Finding the Third Proportional to 468,755 and 970,740

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Solution

The third proportional to 468,755 and 970,740 is: 2,010,295.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,755 : 970,740 = 970,740 : x
  2. Step 2: Convert to fraction form
    468,755/970,740 = 970,740/x
  3. Step 3: Cross multiply
    468,755x = 970,740 × 970,740
  4. Step 4: Simplify right side
    468,755x = 942,336,147,600
  5. Step 5: Solve for x
    x = 942,336,147,600/468,755
  6. Step 6: Final answer
    x = 2,010,295.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.