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Finding the Third Proportional to 857,882 and 1,856,980

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Solution

The third proportional to 857,882 and 1,856,980 is: 4,019,637.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,882 : 1,856,980 = 1,856,980 : x
  2. Step 2: Convert to fraction form
    857,882/1,856,980 = 1,856,980/x
  3. Step 3: Cross multiply
    857,882x = 1,856,980 × 1,856,980
  4. Step 4: Simplify right side
    857,882x = 3,448,374,720,400
  5. Step 5: Solve for x
    x = 3,448,374,720,400/857,882
  6. Step 6: Final answer
    x = 4,019,637.57

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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.