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Finding the Third Proportional to 853,186.50 and 1,811,349

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Solution

The third proportional to 853,186.50 and 1,811,349 is: 3,845,566.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,186.50 : 1,811,349 = 1,811,349 : x
  2. Step 2: Convert to fraction form
    853,186.50/1,811,349 = 1,811,349/x
  3. Step 3: Cross multiply
    853,186.50x = 1,811,349 × 1,811,349
  4. Step 4: Simplify right side
    853,186.50x = 3,280,985,199,801
  5. Step 5: Solve for x
    x = 3,280,985,199,801/853,186.50
  6. Step 6: Final answer
    x = 3,845,566.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.