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Finding the Third Proportional to 2,171,496 and 4,288,492

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Solution

The third proportional to 2,171,496 and 4,288,492 is: 8,469,351.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,496 : 4,288,492 = 4,288,492 : x
  2. Step 2: Convert to fraction form
    2,171,496/4,288,492 = 4,288,492/x
  3. Step 3: Cross multiply
    2,171,496x = 4,288,492 × 4,288,492
  4. Step 4: Simplify right side
    2,171,496x = 18,391,163,634,064
  5. Step 5: Solve for x
    x = 18,391,163,634,064/2,171,496
  6. Step 6: Final answer
    x = 8,469,351.84

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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.