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Finding the Third Proportional to 449,974.41 and 980,833.22

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Solution

The third proportional to 449,974.41 and 980,833.22 is: 2,137,974.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,974.41 : 980,833.22 = 980,833.22 : x
  2. Step 2: Convert to fraction form
    449,974.41/980,833.22 = 980,833.22/x
  3. Step 3: Cross multiply
    449,974.41x = 980,833.22 × 980,833.22
  4. Step 4: Simplify right side
    449,974.41x = 962,033,803,003.49
  5. Step 5: Solve for x
    x = 962,033,803,003.49/449,974.41
  6. Step 6: Final answer
    x = 2,137,974.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.