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Finding the Third Proportional to 911,078 and 1,414,366

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Solution

The third proportional to 911,078 and 1,414,366 is: 2,195,674.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,078 : 1,414,366 = 1,414,366 : x
  2. Step 2: Convert to fraction form
    911,078/1,414,366 = 1,414,366/x
  3. Step 3: Cross multiply
    911,078x = 1,414,366 × 1,414,366
  4. Step 4: Simplify right side
    911,078x = 2,000,431,181,956
  5. Step 5: Solve for x
    x = 2,000,431,181,956/911,078
  6. Step 6: Final answer
    x = 2,195,674.99

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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.