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Finding the Third Proportional to 1,196,338 and 1,838,857

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Solution

The third proportional to 1,196,338 and 1,838,857 is: 2,826,454.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,338 : 1,838,857 = 1,838,857 : x
  2. Step 2: Convert to fraction form
    1,196,338/1,838,857 = 1,838,857/x
  3. Step 3: Cross multiply
    1,196,338x = 1,838,857 × 1,838,857
  4. Step 4: Simplify right side
    1,196,338x = 3,381,395,066,449
  5. Step 5: Solve for x
    x = 3,381,395,066,449/1,196,338
  6. Step 6: Final answer
    x = 2,826,454.62

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.