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Finding the Third Proportional to 842,540 and 1,855,864

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Solution

The third proportional to 842,540 and 1,855,864 is: 4,087,914.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,540 : 1,855,864 = 1,855,864 : x
  2. Step 2: Convert to fraction form
    842,540/1,855,864 = 1,855,864/x
  3. Step 3: Cross multiply
    842,540x = 1,855,864 × 1,855,864
  4. Step 4: Simplify right side
    842,540x = 3,444,231,186,496
  5. Step 5: Solve for x
    x = 3,444,231,186,496/842,540
  6. Step 6: Final answer
    x = 4,087,914.15

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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.