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Finding the Third Proportional to 538,164 and 1,175,472

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Solution

The third proportional to 538,164 and 1,175,472 is: 2,567,496.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,164 : 1,175,472 = 1,175,472 : x
  2. Step 2: Convert to fraction form
    538,164/1,175,472 = 1,175,472/x
  3. Step 3: Cross multiply
    538,164x = 1,175,472 × 1,175,472
  4. Step 4: Simplify right side
    538,164x = 1,381,734,422,784
  5. Step 5: Solve for x
    x = 1,381,734,422,784/538,164
  6. Step 6: Final answer
    x = 2,567,496.94

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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.