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Finding the Third Proportional to 674,416.50 and 1,411,183.50

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Solution

The third proportional to 674,416.50 and 1,411,183.50 is: 2,952,832.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,416.50 : 1,411,183.50 = 1,411,183.50 : x
  2. Step 2: Convert to fraction form
    674,416.50/1,411,183.50 = 1,411,183.50/x
  3. Step 3: Cross multiply
    674,416.50x = 1,411,183.50 × 1,411,183.50
  4. Step 4: Simplify right side
    674,416.50x = 1,991,438,870,672.25
  5. Step 5: Solve for x
    x = 1,991,438,870,672.25/674,416.50
  6. Step 6: Final answer
    x = 2,952,832.37

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.