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Finding the Third Proportional to 1,892,654.86 and 4,104,748.41

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Solution

The third proportional to 1,892,654.86 and 4,104,748.41 is: 8,902,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892,654.86 : 4,104,748.41 = 4,104,748.41 : x
  2. Step 2: Convert to fraction form
    1,892,654.86/4,104,748.41 = 4,104,748.41/x
  3. Step 3: Cross multiply
    1,892,654.86x = 4,104,748.41 × 4,104,748.41
  4. Step 4: Simplify right side
    1,892,654.86x = 16,848,959,478,611.91
  5. Step 5: Solve for x
    x = 16,848,959,478,611.91/1,892,654.86
  6. Step 6: Final answer
    x = 8,902,288.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.