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Finding the Third Proportional to 957,208.50 and 1,481,969.25

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Solution

The third proportional to 957,208.50 and 1,481,969.25 is: 2,294,414.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,208.50 : 1,481,969.25 = 1,481,969.25 : x
  2. Step 2: Convert to fraction form
    957,208.50/1,481,969.25 = 1,481,969.25/x
  3. Step 3: Cross multiply
    957,208.50x = 1,481,969.25 × 1,481,969.25
  4. Step 4: Simplify right side
    957,208.50x = 2,196,232,857,945.56
  5. Step 5: Solve for x
    x = 2,196,232,857,945.56/957,208.50
  6. Step 6: Final answer
    x = 2,294,414.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.