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Finding the Third Proportional to 857,126 and 1,843,244

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Solution

The third proportional to 857,126 and 1,843,244 is: 3,963,884.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,126 : 1,843,244 = 1,843,244 : x
  2. Step 2: Convert to fraction form
    857,126/1,843,244 = 1,843,244/x
  3. Step 3: Cross multiply
    857,126x = 1,843,244 × 1,843,244
  4. Step 4: Simplify right side
    857,126x = 3,397,548,443,536
  5. Step 5: Solve for x
    x = 3,397,548,443,536/857,126
  6. Step 6: Final answer
    x = 3,963,884.47

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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.