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Finding the Third Proportional to 2,234,031.89 and 3,348,046.41

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Solution

The third proportional to 2,234,031.89 and 3,348,046.41 is: 5,017,571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234,031.89 : 3,348,046.41 = 3,348,046.41 : x
  2. Step 2: Convert to fraction form
    2,234,031.89/3,348,046.41 = 3,348,046.41/x
  3. Step 3: Cross multiply
    2,234,031.89x = 3,348,046.41 × 3,348,046.41
  4. Step 4: Simplify right side
    2,234,031.89x = 11,209,414,738,403.54
  5. Step 5: Solve for x
    x = 11,209,414,738,403.54/2,234,031.89
  6. Step 6: Final answer
    x = 5,017,571.50

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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.