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Finding the Third Proportional to 598,451 and 1,311,364

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Solution

The third proportional to 598,451 and 1,311,364 is: 2,873,544.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,451 : 1,311,364 = 1,311,364 : x
  2. Step 2: Convert to fraction form
    598,451/1,311,364 = 1,311,364/x
  3. Step 3: Cross multiply
    598,451x = 1,311,364 × 1,311,364
  4. Step 4: Simplify right side
    598,451x = 1,719,675,540,496
  5. Step 5: Solve for x
    x = 1,719,675,540,496/598,451
  6. Step 6: Final answer
    x = 2,873,544.43

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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.