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Finding the Third Proportional to 1,953,824.25 and 2,951,153.25

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Solution

The third proportional to 1,953,824.25 and 2,951,153.25 is: 4,457,568.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953,824.25 : 2,951,153.25 = 2,951,153.25 : x
  2. Step 2: Convert to fraction form
    1,953,824.25/2,951,153.25 = 2,951,153.25/x
  3. Step 3: Cross multiply
    1,953,824.25x = 2,951,153.25 × 2,951,153.25
  4. Step 4: Simplify right side
    1,953,824.25x = 8,709,305,504,985.56
  5. Step 5: Solve for x
    x = 8,709,305,504,985.56/1,953,824.25
  6. Step 6: Final answer
    x = 4,457,568.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.