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Finding the Third Proportional to 598,473 and 1,311,408

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Solution

The third proportional to 598,473 and 1,311,408 is: 2,873,631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,473 : 1,311,408 = 1,311,408 : x
  2. Step 2: Convert to fraction form
    598,473/1,311,408 = 1,311,408/x
  3. Step 3: Cross multiply
    598,473x = 1,311,408 × 1,311,408
  4. Step 4: Simplify right side
    598,473x = 1,719,790,942,464
  5. Step 5: Solve for x
    x = 1,719,790,942,464/598,473
  6. Step 6: Final answer
    x = 2,873,631.63

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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.