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Finding the Third Proportional to 694,498 and 1,408,314

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Solution

The third proportional to 694,498 and 1,408,314 is: 2,855,801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,498 : 1,408,314 = 1,408,314 : x
  2. Step 2: Convert to fraction form
    694,498/1,408,314 = 1,408,314/x
  3. Step 3: Cross multiply
    694,498x = 1,408,314 × 1,408,314
  4. Step 4: Simplify right side
    694,498x = 1,983,348,322,596
  5. Step 5: Solve for x
    x = 1,983,348,322,596/694,498
  6. Step 6: Final answer
    x = 2,855,801.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.