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Finding the Third Proportional to 620,756 and 949,166

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Solution

The third proportional to 620,756 and 949,166 is: 1,451,320.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,756 : 949,166 = 949,166 : x
  2. Step 2: Convert to fraction form
    620,756/949,166 = 949,166/x
  3. Step 3: Cross multiply
    620,756x = 949,166 × 949,166
  4. Step 4: Simplify right side
    620,756x = 900,916,095,556
  5. Step 5: Solve for x
    x = 900,916,095,556/620,756
  6. Step 6: Final answer
    x = 1,451,320.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.