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Finding the Third Proportional to 3,289,491 and 4,934,236.50

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Solution

The third proportional to 3,289,491 and 4,934,236.50 is: 7,401,354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289,491 : 4,934,236.50 = 4,934,236.50 : x
  2. Step 2: Convert to fraction form
    3,289,491/4,934,236.50 = 4,934,236.50/x
  3. Step 3: Cross multiply
    3,289,491x = 4,934,236.50 × 4,934,236.50
  4. Step 4: Simplify right side
    3,289,491x = 24,346,689,837,932.25
  5. Step 5: Solve for x
    x = 24,346,689,837,932.25/3,289,491
  6. Step 6: Final answer
    x = 7,401,354.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.