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Finding the Third Proportional to 519,412.50 and 1,080,378

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Solution

The third proportional to 519,412.50 and 1,080,378 is: 2,247,186.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,412.50 : 1,080,378 = 1,080,378 : x
  2. Step 2: Convert to fraction form
    519,412.50/1,080,378 = 1,080,378/x
  3. Step 3: Cross multiply
    519,412.50x = 1,080,378 × 1,080,378
  4. Step 4: Simplify right side
    519,412.50x = 1,167,216,622,884
  5. Step 5: Solve for x
    x = 1,167,216,622,884/519,412.50
  6. Step 6: Final answer
    x = 2,247,186.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.