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Finding the Third Proportional to 759,694.50 and 1,621,073.25

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Solution

The third proportional to 759,694.50 and 1,621,073.25 is: 3,459,125.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,694.50 : 1,621,073.25 = 1,621,073.25 : x
  2. Step 2: Convert to fraction form
    759,694.50/1,621,073.25 = 1,621,073.25/x
  3. Step 3: Cross multiply
    759,694.50x = 1,621,073.25 × 1,621,073.25
  4. Step 4: Simplify right side
    759,694.50x = 2,627,878,481,865.56
  5. Step 5: Solve for x
    x = 2,627,878,481,865.56/759,694.50
  6. Step 6: Final answer
    x = 3,459,125.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.