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Finding the Third Proportional to 2,171,486 and 4,288,472.50

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Solution

The third proportional to 2,171,486 and 4,288,472.50 is: 8,469,313.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,486 : 4,288,472.50 = 4,288,472.50 : x
  2. Step 2: Convert to fraction form
    2,171,486/4,288,472.50 = 4,288,472.50/x
  3. Step 3: Cross multiply
    2,171,486x = 4,288,472.50 × 4,288,472.50
  4. Step 4: Simplify right side
    2,171,486x = 18,390,996,383,256.25
  5. Step 5: Solve for x
    x = 18,390,996,383,256.25/2,171,486
  6. Step 6: Final answer
    x = 8,469,313.82

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.