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Finding the Third Proportional to 1,509,977 and 3,194,850

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Solution

The third proportional to 1,509,977 and 3,194,850 is: 6,759,749.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509,977 : 3,194,850 = 3,194,850 : x
  2. Step 2: Convert to fraction form
    1,509,977/3,194,850 = 3,194,850/x
  3. Step 3: Cross multiply
    1,509,977x = 3,194,850 × 3,194,850
  4. Step 4: Simplify right side
    1,509,977x = 10,207,066,522,500
  5. Step 5: Solve for x
    x = 10,207,066,522,500/1,509,977
  6. Step 6: Final answer
    x = 6,759,749.67

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.