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Finding the Third Proportional to 419,193 and 909,276.19

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Solution

The third proportional to 419,193 and 909,276.19 is: 1,972,321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,193 : 909,276.19 = 909,276.19 : x
  2. Step 2: Convert to fraction form
    419,193/909,276.19 = 909,276.19/x
  3. Step 3: Cross multiply
    419,193x = 909,276.19 × 909,276.19
  4. Step 4: Simplify right side
    419,193x = 826,783,185,154.54
  5. Step 5: Solve for x
    x = 826,783,185,154.54/419,193
  6. Step 6: Final answer
    x = 1,972,321.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.