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Finding the Third Proportional to 2,171,970 and 3,285,981

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Solution

The third proportional to 2,171,970 and 3,285,981 is: 4,971,372.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,970 : 3,285,981 = 3,285,981 : x
  2. Step 2: Convert to fraction form
    2,171,970/3,285,981 = 3,285,981/x
  3. Step 3: Cross multiply
    2,171,970x = 3,285,981 × 3,285,981
  4. Step 4: Simplify right side
    2,171,970x = 10,797,671,132,361
  5. Step 5: Solve for x
    x = 10,797,671,132,361/2,171,970
  6. Step 6: Final answer
    x = 4,971,372.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.