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Finding the Third Proportional to 541,480 and 1,190,960

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Solution

The third proportional to 541,480 and 1,190,960 is: 2,619,460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,480 : 1,190,960 = 1,190,960 : x
  2. Step 2: Convert to fraction form
    541,480/1,190,960 = 1,190,960/x
  3. Step 3: Cross multiply
    541,480x = 1,190,960 × 1,190,960
  4. Step 4: Simplify right side
    541,480x = 1,418,385,721,600
  5. Step 5: Solve for x
    x = 1,418,385,721,600/541,480
  6. Step 6: Final answer
    x = 2,619,460.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.