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Finding the Third Proportional to 591,162 and 1,224,364

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Solution

The third proportional to 591,162 and 1,224,364 is: 2,535,797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,162 : 1,224,364 = 1,224,364 : x
  2. Step 2: Convert to fraction form
    591,162/1,224,364 = 1,224,364/x
  3. Step 3: Cross multiply
    591,162x = 1,224,364 × 1,224,364
  4. Step 4: Simplify right side
    591,162x = 1,499,067,204,496
  5. Step 5: Solve for x
    x = 1,499,067,204,496/591,162
  6. Step 6: Final answer
    x = 2,535,797.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.