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Finding the Third Proportional to 1,538,168.25 and 2,387,870

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Solution

The third proportional to 1,538,168.25 and 2,387,870 is: 3,706,956.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,168.25 : 2,387,870 = 2,387,870 : x
  2. Step 2: Convert to fraction form
    1,538,168.25/2,387,870 = 2,387,870/x
  3. Step 3: Cross multiply
    1,538,168.25x = 2,387,870 × 2,387,870
  4. Step 4: Simplify right side
    1,538,168.25x = 5,701,923,136,900
  5. Step 5: Solve for x
    x = 5,701,923,136,900/1,538,168.25
  6. Step 6: Final answer
    x = 3,706,956.72

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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.