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Finding the Third Proportional to 857,120 and 1,843,236

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Solution

The third proportional to 857,120 and 1,843,236 is: 3,963,877.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,120 : 1,843,236 = 1,843,236 : x
  2. Step 2: Convert to fraction form
    857,120/1,843,236 = 1,843,236/x
  3. Step 3: Cross multiply
    857,120x = 1,843,236 × 1,843,236
  4. Step 4: Simplify right side
    857,120x = 3,397,518,951,696
  5. Step 5: Solve for x
    x = 3,397,518,951,696/857,120
  6. Step 6: Final answer
    x = 3,963,877.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.