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Finding the Third Proportional to 400,311 and 870,606

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Solution

The third proportional to 400,311 and 870,606 is: 1,893,414.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,311 : 870,606 = 870,606 : x
  2. Step 2: Convert to fraction form
    400,311/870,606 = 870,606/x
  3. Step 3: Cross multiply
    400,311x = 870,606 × 870,606
  4. Step 4: Simplify right side
    400,311x = 757,954,807,236
  5. Step 5: Solve for x
    x = 757,954,807,236/400,311
  6. Step 6: Final answer
    x = 1,893,414.89

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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.