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Finding the Third Proportional to 659,400 and 1,412,112

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Solution

The third proportional to 659,400 and 1,412,112 is: 3,024,052.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,400 : 1,412,112 = 1,412,112 : x
  2. Step 2: Convert to fraction form
    659,400/1,412,112 = 1,412,112/x
  3. Step 3: Cross multiply
    659,400x = 1,412,112 × 1,412,112
  4. Step 4: Simplify right side
    659,400x = 1,994,060,300,544
  5. Step 5: Solve for x
    x = 1,994,060,300,544/659,400
  6. Step 6: Final answer
    x = 3,024,052.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.