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Finding the Third Proportional to 3,289,917 and 4,907,491.50

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Solution

The third proportional to 3,289,917 and 4,907,491.50 is: 7,320,389.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289,917 : 4,907,491.50 = 4,907,491.50 : x
  2. Step 2: Convert to fraction form
    3,289,917/4,907,491.50 = 4,907,491.50/x
  3. Step 3: Cross multiply
    3,289,917x = 4,907,491.50 × 4,907,491.50
  4. Step 4: Simplify right side
    3,289,917x = 24,083,472,822,572.25
  5. Step 5: Solve for x
    x = 24,083,472,822,572.25/3,289,917
  6. Step 6: Final answer
    x = 7,320,389.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.