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Finding the Third Proportional to 449,434 and 962,838

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Solution

The third proportional to 449,434 and 962,838 is: 2,062,721.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,434 : 962,838 = 962,838 : x
  2. Step 2: Convert to fraction form
    449,434/962,838 = 962,838/x
  3. Step 3: Cross multiply
    449,434x = 962,838 × 962,838
  4. Step 4: Simplify right side
    449,434x = 927,057,014,244
  5. Step 5: Solve for x
    x = 927,057,014,244/449,434
  6. Step 6: Final answer
    x = 2,062,721.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.