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Finding the Third Proportional to 400,084 and 868,851

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Solution

The third proportional to 400,084 and 868,851 is: 1,886,858.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,084 : 868,851 = 868,851 : x
  2. Step 2: Convert to fraction form
    400,084/868,851 = 868,851/x
  3. Step 3: Cross multiply
    400,084x = 868,851 × 868,851
  4. Step 4: Simplify right side
    400,084x = 754,902,060,201
  5. Step 5: Solve for x
    x = 754,902,060,201/400,084
  6. Step 6: Final answer
    x = 1,886,858.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.