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Finding the Third Proportional to 624,009.75 and 1,347,558.75

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Solution

The third proportional to 624,009.75 and 1,347,558.75 is: 2,910,074.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,009.75 : 1,347,558.75 = 1,347,558.75 : x
  2. Step 2: Convert to fraction form
    624,009.75/1,347,558.75 = 1,347,558.75/x
  3. Step 3: Cross multiply
    624,009.75x = 1,347,558.75 × 1,347,558.75
  4. Step 4: Simplify right side
    624,009.75x = 1,815,914,584,701.56
  5. Step 5: Solve for x
    x = 1,815,914,584,701.56/624,009.75
  6. Step 6: Final answer
    x = 2,910,074.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.