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Finding the Third Proportional to 431,378 and 934,152

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Solution

The third proportional to 431,378 and 934,152 is: 2,022,912.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,378 : 934,152 = 934,152 : x
  2. Step 2: Convert to fraction form
    431,378/934,152 = 934,152/x
  3. Step 3: Cross multiply
    431,378x = 934,152 × 934,152
  4. Step 4: Simplify right side
    431,378x = 872,639,959,104
  5. Step 5: Solve for x
    x = 872,639,959,104/431,378
  6. Step 6: Final answer
    x = 2,022,912.52

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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.