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Finding the Third Proportional to 468,756 and 970,742

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Solution

The third proportional to 468,756 and 970,742 is: 2,010,299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,756 : 970,742 = 970,742 : x
  2. Step 2: Convert to fraction form
    468,756/970,742 = 970,742/x
  3. Step 3: Cross multiply
    468,756x = 970,742 × 970,742
  4. Step 4: Simplify right side
    468,756x = 942,340,030,564
  5. Step 5: Solve for x
    x = 942,340,030,564/468,756
  6. Step 6: Final answer
    x = 2,010,299.67

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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.