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Finding the Third Proportional to 519,420 and 1,134,960

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Solution

The third proportional to 519,420 and 1,134,960 is: 2,479,947.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,420 : 1,134,960 = 1,134,960 : x
  2. Step 2: Convert to fraction form
    519,420/1,134,960 = 1,134,960/x
  3. Step 3: Cross multiply
    519,420x = 1,134,960 × 1,134,960
  4. Step 4: Simplify right side
    519,420x = 1,288,134,201,600
  5. Step 5: Solve for x
    x = 1,288,134,201,600/519,420
  6. Step 6: Final answer
    x = 2,479,947.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.