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Finding the Third Proportional to 1,200,851 and 1,857,378

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Solution

The third proportional to 1,200,851 and 1,857,378 is: 2,872,840.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,851 : 1,857,378 = 1,857,378 : x
  2. Step 2: Convert to fraction form
    1,200,851/1,857,378 = 1,857,378/x
  3. Step 3: Cross multiply
    1,200,851x = 1,857,378 × 1,857,378
  4. Step 4: Simplify right side
    1,200,851x = 3,449,853,034,884
  5. Step 5: Solve for x
    x = 3,449,853,034,884/1,200,851
  6. Step 6: Final answer
    x = 2,872,840.21

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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.