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Finding the Third Proportional to 400,251 and 866,922

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Solution

The third proportional to 400,251 and 866,922 is: 1,877,706.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,251 : 866,922 = 866,922 : x
  2. Step 2: Convert to fraction form
    400,251/866,922 = 866,922/x
  3. Step 3: Cross multiply
    400,251x = 866,922 × 866,922
  4. Step 4: Simplify right side
    400,251x = 751,553,754,084
  5. Step 5: Solve for x
    x = 751,553,754,084/400,251
  6. Step 6: Final answer
    x = 1,877,706.12

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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.