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Finding the Third Proportional to 587,144 and 1,251,171

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Solution

The third proportional to 587,144 and 1,251,171 is: 2,666,175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,144 : 1,251,171 = 1,251,171 : x
  2. Step 2: Convert to fraction form
    587,144/1,251,171 = 1,251,171/x
  3. Step 3: Cross multiply
    587,144x = 1,251,171 × 1,251,171
  4. Step 4: Simplify right side
    587,144x = 1,565,428,871,241
  5. Step 5: Solve for x
    x = 1,565,428,871,241/587,144
  6. Step 6: Final answer
    x = 2,666,175.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.