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Finding the Third Proportional to 1,286,236 and 1,993,641

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Solution

The third proportional to 1,286,236 and 1,993,641 is: 3,090,105.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286,236 : 1,993,641 = 1,993,641 : x
  2. Step 2: Convert to fraction form
    1,286,236/1,993,641 = 1,993,641/x
  3. Step 3: Cross multiply
    1,286,236x = 1,993,641 × 1,993,641
  4. Step 4: Simplify right side
    1,286,236x = 3,974,604,436,881
  5. Step 5: Solve for x
    x = 3,974,604,436,881/1,286,236
  6. Step 6: Final answer
    x = 3,090,105.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.