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Finding the Third Proportional to 1,624,512.75 and 2,525,614.31

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Solution

The third proportional to 1,624,512.75 and 2,525,614.31 is: 3,926,548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624,512.75 : 2,525,614.31 = 2,525,614.31 : x
  2. Step 2: Convert to fraction form
    1,624,512.75/2,525,614.31 = 2,525,614.31/x
  3. Step 3: Cross multiply
    1,624,512.75x = 2,525,614.31 × 2,525,614.31
  4. Step 4: Simplify right side
    1,624,512.75x = 6,378,727,655,504.85
  5. Step 5: Solve for x
    x = 6,378,727,655,504.85/1,624,512.75
  6. Step 6: Final answer
    x = 3,926,548.23

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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.