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Finding the Third Proportional to 633,498 and 1,408,656

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Solution

The third proportional to 633,498 and 1,408,656 is: 3,132,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,498 : 1,408,656 = 1,408,656 : x
  2. Step 2: Convert to fraction form
    633,498/1,408,656 = 1,408,656/x
  3. Step 3: Cross multiply
    633,498x = 1,408,656 × 1,408,656
  4. Step 4: Simplify right side
    633,498x = 1,984,311,726,336
  5. Step 5: Solve for x
    x = 1,984,311,726,336/633,498
  6. Step 6: Final answer
    x = 3,132,309.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.