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Finding the Third Proportional to 1,198,746 and 1,828,035

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Solution

The third proportional to 1,198,746 and 1,828,035 is: 2,787,673.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,746 : 1,828,035 = 1,828,035 : x
  2. Step 2: Convert to fraction form
    1,198,746/1,828,035 = 1,828,035/x
  3. Step 3: Cross multiply
    1,198,746x = 1,828,035 × 1,828,035
  4. Step 4: Simplify right side
    1,198,746x = 3,341,711,961,225
  5. Step 5: Solve for x
    x = 3,341,711,961,225/1,198,746
  6. Step 6: Final answer
    x = 2,787,673.09

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.