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Finding the Third Proportional to 862,407 and 1,814,175

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Solution

The third proportional to 862,407 and 1,814,175 is: 3,816,331.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,407 : 1,814,175 = 1,814,175 : x
  2. Step 2: Convert to fraction form
    862,407/1,814,175 = 1,814,175/x
  3. Step 3: Cross multiply
    862,407x = 1,814,175 × 1,814,175
  4. Step 4: Simplify right side
    862,407x = 3,291,230,930,625
  5. Step 5: Solve for x
    x = 3,291,230,930,625/862,407
  6. Step 6: Final answer
    x = 3,816,331.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.