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Finding the Third Proportional to 538,026 and 1,180,540

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Solution

The third proportional to 538,026 and 1,180,540 is: 2,590,348.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,026 : 1,180,540 = 1,180,540 : x
  2. Step 2: Convert to fraction form
    538,026/1,180,540 = 1,180,540/x
  3. Step 3: Cross multiply
    538,026x = 1,180,540 × 1,180,540
  4. Step 4: Simplify right side
    538,026x = 1,393,674,691,600
  5. Step 5: Solve for x
    x = 1,393,674,691,600/538,026
  6. Step 6: Final answer
    x = 2,590,348.22

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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.