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Finding the Third Proportional to 452,372.34 and 941,969.25

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Solution

The third proportional to 452,372.34 and 941,969.25 is: 1,961,450.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,372.34 : 941,969.25 = 941,969.25 : x
  2. Step 2: Convert to fraction form
    452,372.34/941,969.25 = 941,969.25/x
  3. Step 3: Cross multiply
    452,372.34x = 941,969.25 × 941,969.25
  4. Step 4: Simplify right side
    452,372.34x = 887,306,067,945.56
  5. Step 5: Solve for x
    x = 887,306,067,945.56/452,372.34
  6. Step 6: Final answer
    x = 1,961,450.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.