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Finding the Third Proportional to 886,950 and 1,365,174

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Solution

The third proportional to 886,950 and 1,365,174 is: 2,101,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,950 : 1,365,174 = 1,365,174 : x
  2. Step 2: Convert to fraction form
    886,950/1,365,174 = 1,365,174/x
  3. Step 3: Cross multiply
    886,950x = 1,365,174 × 1,365,174
  4. Step 4: Simplify right side
    886,950x = 1,863,700,050,276
  5. Step 5: Solve for x
    x = 1,863,700,050,276/886,950
  6. Step 6: Final answer
    x = 2,101,245.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.