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Finding the Third Proportional to 842,882 and 1,863,028

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Solution

The third proportional to 842,882 and 1,863,028 is: 4,117,863.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,882 : 1,863,028 = 1,863,028 : x
  2. Step 2: Convert to fraction form
    842,882/1,863,028 = 1,863,028/x
  3. Step 3: Cross multiply
    842,882x = 1,863,028 × 1,863,028
  4. Step 4: Simplify right side
    842,882x = 3,470,873,328,784
  5. Step 5: Solve for x
    x = 3,470,873,328,784/842,882
  6. Step 6: Final answer
    x = 4,117,863.86

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.