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Finding the Third Proportional to 861,489 and 1,896,642

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Solution

The third proportional to 861,489 and 1,896,642 is: 4,175,620.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,489 : 1,896,642 = 1,896,642 : x
  2. Step 2: Convert to fraction form
    861,489/1,896,642 = 1,896,642/x
  3. Step 3: Cross multiply
    861,489x = 1,896,642 × 1,896,642
  4. Step 4: Simplify right side
    861,489x = 3,597,250,876,164
  5. Step 5: Solve for x
    x = 3,597,250,876,164/861,489
  6. Step 6: Final answer
    x = 4,175,620.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.