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Finding the Third Proportional to 449,052 and 982,664

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Solution

The third proportional to 449,052 and 982,664 is: 2,150,371.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,052 : 982,664 = 982,664 : x
  2. Step 2: Convert to fraction form
    449,052/982,664 = 982,664/x
  3. Step 3: Cross multiply
    449,052x = 982,664 × 982,664
  4. Step 4: Simplify right side
    449,052x = 965,628,536,896
  5. Step 5: Solve for x
    x = 965,628,536,896/449,052
  6. Step 6: Final answer
    x = 2,150,371.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.