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Finding the Third Proportional to 1,214,446.50 and 2,665,089

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Solution

The third proportional to 1,214,446.50 and 2,665,089 is: 5,848,507.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,446.50 : 2,665,089 = 2,665,089 : x
  2. Step 2: Convert to fraction form
    1,214,446.50/2,665,089 = 2,665,089/x
  3. Step 3: Cross multiply
    1,214,446.50x = 2,665,089 × 2,665,089
  4. Step 4: Simplify right side
    1,214,446.50x = 7,102,699,377,921
  5. Step 5: Solve for x
    x = 7,102,699,377,921/1,214,446.50
  6. Step 6: Final answer
    x = 5,848,507.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.