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Finding the Third Proportional to 545,876 and 1,174,696

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Solution

The third proportional to 545,876 and 1,174,696 is: 2,527,883.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,876 : 1,174,696 = 1,174,696 : x
  2. Step 2: Convert to fraction form
    545,876/1,174,696 = 1,174,696/x
  3. Step 3: Cross multiply
    545,876x = 1,174,696 × 1,174,696
  4. Step 4: Simplify right side
    545,876x = 1,379,910,692,416
  5. Step 5: Solve for x
    x = 1,379,910,692,416/545,876
  6. Step 6: Final answer
    x = 2,527,883.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.