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Finding the Third Proportional to 842,800 and 1,857,384

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Solution

The third proportional to 842,800 and 1,857,384 is: 4,093,349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,800 : 1,857,384 = 1,857,384 : x
  2. Step 2: Convert to fraction form
    842,800/1,857,384 = 1,857,384/x
  3. Step 3: Cross multiply
    842,800x = 1,857,384 × 1,857,384
  4. Step 4: Simplify right side
    842,800x = 3,449,875,323,456
  5. Step 5: Solve for x
    x = 3,449,875,323,456/842,800
  6. Step 6: Final answer
    x = 4,093,349.93

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.