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Finding the Third Proportional to 541,200 and 1,169,120

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Solution

The third proportional to 541,200 and 1,169,120 is: 2,525,575.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,200 : 1,169,120 = 1,169,120 : x
  2. Step 2: Convert to fraction form
    541,200/1,169,120 = 1,169,120/x
  3. Step 3: Cross multiply
    541,200x = 1,169,120 × 1,169,120
  4. Step 4: Simplify right side
    541,200x = 1,366,841,574,400
  5. Step 5: Solve for x
    x = 1,366,841,574,400/541,200
  6. Step 6: Final answer
    x = 2,525,575.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.