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Finding the Third Proportional to 436,108.13 and 923,999.63

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Solution

The third proportional to 436,108.13 and 923,999.63 is: 1,957,714.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,108.13 : 923,999.63 = 923,999.63 : x
  2. Step 2: Convert to fraction form
    436,108.13/923,999.63 = 923,999.63/x
  3. Step 3: Cross multiply
    436,108.13x = 923,999.63 × 923,999.63
  4. Step 4: Simplify right side
    436,108.13x = 853,775,307,000.14
  5. Step 5: Solve for x
    x = 853,775,307,000.14/436,108.13
  6. Step 6: Final answer
    x = 1,957,714.75

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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.