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Finding the Third Proportional to 449,062 and 972,867

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Solution

The third proportional to 449,062 and 972,867 is: 2,107,660.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,062 : 972,867 = 972,867 : x
  2. Step 2: Convert to fraction form
    449,062/972,867 = 972,867/x
  3. Step 3: Cross multiply
    449,062x = 972,867 × 972,867
  4. Step 4: Simplify right side
    449,062x = 946,470,199,689
  5. Step 5: Solve for x
    x = 946,470,199,689/449,062
  6. Step 6: Final answer
    x = 2,107,660.41

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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.