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Finding the Third Proportional to 857,837 and 1,856,882

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Solution

The third proportional to 857,837 and 1,856,882 is: 4,019,424.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,837 : 1,856,882 = 1,856,882 : x
  2. Step 2: Convert to fraction form
    857,837/1,856,882 = 1,856,882/x
  3. Step 3: Cross multiply
    857,837x = 1,856,882 × 1,856,882
  4. Step 4: Simplify right side
    857,837x = 3,448,010,761,924
  5. Step 5: Solve for x
    x = 3,448,010,761,924/857,837
  6. Step 6: Final answer
    x = 4,019,424.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.