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Finding the Third Proportional to 587,904 and 859,171

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Solution

The third proportional to 587,904 and 859,171 is: 1,255,604.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,904 : 859,171 = 859,171 : x
  2. Step 2: Convert to fraction form
    587,904/859,171 = 859,171/x
  3. Step 3: Cross multiply
    587,904x = 859,171 × 859,171
  4. Step 4: Simplify right side
    587,904x = 738,174,807,241
  5. Step 5: Solve for x
    x = 738,174,807,241/587,904
  6. Step 6: Final answer
    x = 1,255,604.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.