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Finding the Third Proportional to 519,180 and 1,126,488

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Solution

The third proportional to 519,180 and 1,126,488 is: 2,444,191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,180 : 1,126,488 = 1,126,488 : x
  2. Step 2: Convert to fraction form
    519,180/1,126,488 = 1,126,488/x
  3. Step 3: Cross multiply
    519,180x = 1,126,488 × 1,126,488
  4. Step 4: Simplify right side
    519,180x = 1,268,975,214,144
  5. Step 5: Solve for x
    x = 1,268,975,214,144/519,180
  6. Step 6: Final answer
    x = 2,444,191.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.