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Finding the Third Proportional to 976,267.69 and 2,102,390.44

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Solution

The third proportional to 976,267.69 and 2,102,390.44 is: 4,527,493.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,267.69 : 2,102,390.44 = 2,102,390.44 : x
  2. Step 2: Convert to fraction form
    976,267.69/2,102,390.44 = 2,102,390.44/x
  3. Step 3: Cross multiply
    976,267.69x = 2,102,390.44 × 2,102,390.44
  4. Step 4: Simplify right side
    976,267.69x = 4,420,045,551,691.44
  5. Step 5: Solve for x
    x = 4,420,045,551,691.44/976,267.69
  6. Step 6: Final answer
    x = 4,527,493.44

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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.