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Finding the Third Proportional to 1,214,463 and 2,665,119

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Solution

The third proportional to 1,214,463 and 2,665,119 is: 5,848,559.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,463 : 2,665,119 = 2,665,119 : x
  2. Step 2: Convert to fraction form
    1,214,463/2,665,119 = 2,665,119/x
  3. Step 3: Cross multiply
    1,214,463x = 2,665,119 × 2,665,119
  4. Step 4: Simplify right side
    1,214,463x = 7,102,859,284,161
  5. Step 5: Solve for x
    x = 7,102,859,284,161/1,214,463
  6. Step 6: Final answer
    x = 5,848,559.64

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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.