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Finding the Third Proportional to 1,245,645 and 1,861,980.75

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Solution

The third proportional to 1,245,645 and 1,861,980.75 is: 2,783,274.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245,645 : 1,861,980.75 = 1,861,980.75 : x
  2. Step 2: Convert to fraction form
    1,245,645/1,861,980.75 = 1,861,980.75/x
  3. Step 3: Cross multiply
    1,245,645x = 1,861,980.75 × 1,861,980.75
  4. Step 4: Simplify right side
    1,245,645x = 3,466,972,313,370.56
  5. Step 5: Solve for x
    x = 3,466,972,313,370.56/1,245,645
  6. Step 6: Final answer
    x = 2,783,274.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.