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Finding the Third Proportional to 862,397 and 1,814,161

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Solution

The third proportional to 862,397 and 1,814,161 is: 3,816,316.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,397 : 1,814,161 = 1,814,161 : x
  2. Step 2: Convert to fraction form
    862,397/1,814,161 = 1,814,161/x
  3. Step 3: Cross multiply
    862,397x = 1,814,161 × 1,814,161
  4. Step 4: Simplify right side
    862,397x = 3,291,180,133,921
  5. Step 5: Solve for x
    x = 3,291,180,133,921/862,397
  6. Step 6: Final answer
    x = 3,816,316.77

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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.