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Finding the Third Proportional to 1,652,187.75 and 2,525,766.75

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Solution

The third proportional to 1,652,187.75 and 2,525,766.75 is: 3,861,242.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652,187.75 : 2,525,766.75 = 2,525,766.75 : x
  2. Step 2: Convert to fraction form
    1,652,187.75/2,525,766.75 = 2,525,766.75/x
  3. Step 3: Cross multiply
    1,652,187.75x = 2,525,766.75 × 2,525,766.75
  4. Step 4: Simplify right side
    1,652,187.75x = 6,379,497,675,405.56
  5. Step 5: Solve for x
    x = 6,379,497,675,405.56/1,652,187.75
  6. Step 6: Final answer
    x = 3,861,242.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.