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Finding the Third Proportional to 694,900 and 1,509,356

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Solution

The third proportional to 694,900 and 1,509,356 is: 3,278,393.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,900 : 1,509,356 = 1,509,356 : x
  2. Step 2: Convert to fraction form
    694,900/1,509,356 = 1,509,356/x
  3. Step 3: Cross multiply
    694,900x = 1,509,356 × 1,509,356
  4. Step 4: Simplify right side
    694,900x = 2,278,155,534,736
  5. Step 5: Solve for x
    x = 2,278,155,534,736/694,900
  6. Step 6: Final answer
    x = 3,278,393.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.