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Finding the Third Proportional to 538,017 and 1,180,524

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Solution

The third proportional to 538,017 and 1,180,524 is: 2,590,321.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,017 : 1,180,524 = 1,180,524 : x
  2. Step 2: Convert to fraction form
    538,017/1,180,524 = 1,180,524/x
  3. Step 3: Cross multiply
    538,017x = 1,180,524 × 1,180,524
  4. Step 4: Simplify right side
    538,017x = 1,393,636,914,576
  5. Step 5: Solve for x
    x = 1,393,636,914,576/538,017
  6. Step 6: Final answer
    x = 2,590,321.34

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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.