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Finding the Third Proportional to 896,188 and 1,419,756

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Solution

The third proportional to 896,188 and 1,419,756 is: 2,249,201.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,188 : 1,419,756 = 1,419,756 : x
  2. Step 2: Convert to fraction form
    896,188/1,419,756 = 1,419,756/x
  3. Step 3: Cross multiply
    896,188x = 1,419,756 × 1,419,756
  4. Step 4: Simplify right side
    896,188x = 2,015,707,099,536
  5. Step 5: Solve for x
    x = 2,015,707,099,536/896,188
  6. Step 6: Final answer
    x = 2,249,201.17

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.