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Finding the Third Proportional to 538,450 and 1,174,693

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Solution

The third proportional to 538,450 and 1,174,693 is: 2,562,733.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,450 : 1,174,693 = 1,174,693 : x
  2. Step 2: Convert to fraction form
    538,450/1,174,693 = 1,174,693/x
  3. Step 3: Cross multiply
    538,450x = 1,174,693 × 1,174,693
  4. Step 4: Simplify right side
    538,450x = 1,379,903,644,249
  5. Step 5: Solve for x
    x = 1,379,903,644,249/538,450
  6. Step 6: Final answer
    x = 2,562,733.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.