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Finding the Third Proportional to 800,216 and 1,208,892

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Solution

The third proportional to 800,216 and 1,208,892 is: 1,826,281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,216 : 1,208,892 = 1,208,892 : x
  2. Step 2: Convert to fraction form
    800,216/1,208,892 = 1,208,892/x
  3. Step 3: Cross multiply
    800,216x = 1,208,892 × 1,208,892
  4. Step 4: Simplify right side
    800,216x = 1,461,419,867,664
  5. Step 5: Solve for x
    x = 1,461,419,867,664/800,216
  6. Step 6: Final answer
    x = 1,826,281.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.