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Finding the Third Proportional to 842,199 and 1,826,274

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Solution

The third proportional to 842,199 and 1,826,274 is: 3,960,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,199 : 1,826,274 = 1,826,274 : x
  2. Step 2: Convert to fraction form
    842,199/1,826,274 = 1,826,274/x
  3. Step 3: Cross multiply
    842,199x = 1,826,274 × 1,826,274
  4. Step 4: Simplify right side
    842,199x = 3,335,276,723,076
  5. Step 5: Solve for x
    x = 3,335,276,723,076/842,199
  6. Step 6: Final answer
    x = 3,960,200.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.