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Finding the Third Proportional to 862,400 and 1,814,167

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Solution

The third proportional to 862,400 and 1,814,167 is: 3,816,328.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,400 : 1,814,167 = 1,814,167 : x
  2. Step 2: Convert to fraction form
    862,400/1,814,167 = 1,814,167/x
  3. Step 3: Cross multiply
    862,400x = 1,814,167 × 1,814,167
  4. Step 4: Simplify right side
    862,400x = 3,291,201,903,889
  5. Step 5: Solve for x
    x = 3,291,201,903,889/862,400
  6. Step 6: Final answer
    x = 3,816,328.74

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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.