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Finding the Third Proportional to 791,408 and 1,866,329

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Solution

The third proportional to 791,408 and 1,866,329 is: 4,401,249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,408 : 1,866,329 = 1,866,329 : x
  2. Step 2: Convert to fraction form
    791,408/1,866,329 = 1,866,329/x
  3. Step 3: Cross multiply
    791,408x = 1,866,329 × 1,866,329
  4. Step 4: Simplify right side
    791,408x = 3,483,183,936,241
  5. Step 5: Solve for x
    x = 3,483,183,936,241/791,408
  6. Step 6: Final answer
    x = 4,401,249.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.