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Finding the Third Proportional to 598,417 and 1,311,286

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Solution

The third proportional to 598,417 and 1,311,286 is: 2,873,365.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,417 : 1,311,286 = 1,311,286 : x
  2. Step 2: Convert to fraction form
    598,417/1,311,286 = 1,311,286/x
  3. Step 3: Cross multiply
    598,417x = 1,311,286 × 1,311,286
  4. Step 4: Simplify right side
    598,417x = 1,719,470,973,796
  5. Step 5: Solve for x
    x = 1,719,470,973,796/598,417
  6. Step 6: Final answer
    x = 2,873,365.85

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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.