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Finding the Third Proportional to 842,706 and 1,857,195

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Solution

The third proportional to 842,706 and 1,857,195 is: 4,092,973.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,706 : 1,857,195 = 1,857,195 : x
  2. Step 2: Convert to fraction form
    842,706/1,857,195 = 1,857,195/x
  3. Step 3: Cross multiply
    842,706x = 1,857,195 × 1,857,195
  4. Step 4: Simplify right side
    842,706x = 3,449,173,268,025
  5. Step 5: Solve for x
    x = 3,449,173,268,025/842,706
  6. Step 6: Final answer
    x = 4,092,973.43

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Why These Related Problems?

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