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Finding the Third Proportional to 669,351 and 1,470,954

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Solution

The third proportional to 669,351 and 1,470,954 is: 3,232,542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,351 : 1,470,954 = 1,470,954 : x
  2. Step 2: Convert to fraction form
    669,351/1,470,954 = 1,470,954/x
  3. Step 3: Cross multiply
    669,351x = 1,470,954 × 1,470,954
  4. Step 4: Simplify right side
    669,351x = 2,163,705,670,116
  5. Step 5: Solve for x
    x = 2,163,705,670,116/669,351
  6. Step 6: Final answer
    x = 3,232,542.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.