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Finding the Third Proportional to 976,396.50 and 2,057,769

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Solution

The third proportional to 976,396.50 and 2,057,769 is: 4,336,776.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,396.50 : 2,057,769 = 2,057,769 : x
  2. Step 2: Convert to fraction form
    976,396.50/2,057,769 = 2,057,769/x
  3. Step 3: Cross multiply
    976,396.50x = 2,057,769 × 2,057,769
  4. Step 4: Simplify right side
    976,396.50x = 4,234,413,257,361
  5. Step 5: Solve for x
    x = 4,234,413,257,361/976,396.50
  6. Step 6: Final answer
    x = 4,336,776.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.