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Finding the Third Proportional to 857,270 and 1,843,573

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Solution

The third proportional to 857,270 and 1,843,573 is: 3,964,633.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,270 : 1,843,573 = 1,843,573 : x
  2. Step 2: Convert to fraction form
    857,270/1,843,573 = 1,843,573/x
  3. Step 3: Cross multiply
    857,270x = 1,843,573 × 1,843,573
  4. Step 4: Simplify right side
    857,270x = 3,398,761,406,329
  5. Step 5: Solve for x
    x = 3,398,761,406,329/857,270
  6. Step 6: Final answer
    x = 3,964,633.55

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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.