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Finding the Third Proportional to 1,467,666 and 2,245,270

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Solution

The third proportional to 1,467,666 and 2,245,270 is: 3,434,866.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467,666 : 2,245,270 = 2,245,270 : x
  2. Step 2: Convert to fraction form
    1,467,666/2,245,270 = 2,245,270/x
  3. Step 3: Cross multiply
    1,467,666x = 2,245,270 × 2,245,270
  4. Step 4: Simplify right side
    1,467,666x = 5,041,237,372,900
  5. Step 5: Solve for x
    x = 5,041,237,372,900/1,467,666
  6. Step 6: Final answer
    x = 3,434,866.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.