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Finding the Third Proportional to 540,080 and 1,181,824

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Solution

The third proportional to 540,080 and 1,181,824 is: 2,586,113.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,080 : 1,181,824 = 1,181,824 : x
  2. Step 2: Convert to fraction form
    540,080/1,181,824 = 1,181,824/x
  3. Step 3: Cross multiply
    540,080x = 1,181,824 × 1,181,824
  4. Step 4: Simplify right side
    540,080x = 1,396,707,966,976
  5. Step 5: Solve for x
    x = 1,396,707,966,976/540,080
  6. Step 6: Final answer
    x = 2,586,113.11

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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.