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Finding the Third Proportional to 1,436,589 and 2,142,423

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Solution

The third proportional to 1,436,589 and 2,142,423 is: 3,195,051.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436,589 : 2,142,423 = 2,142,423 : x
  2. Step 2: Convert to fraction form
    1,436,589/2,142,423 = 2,142,423/x
  3. Step 3: Cross multiply
    1,436,589x = 2,142,423 × 2,142,423
  4. Step 4: Simplify right side
    1,436,589x = 4,589,976,310,929
  5. Step 5: Solve for x
    x = 4,589,976,310,929/1,436,589
  6. Step 6: Final answer
    x = 3,195,051.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.