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Finding the Third Proportional to 400,896 and 870,912

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Solution

The third proportional to 400,896 and 870,912 is: 1,891,981.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,896 : 870,912 = 870,912 : x
  2. Step 2: Convert to fraction form
    400,896/870,912 = 870,912/x
  3. Step 3: Cross multiply
    400,896x = 870,912 × 870,912
  4. Step 4: Simplify right side
    400,896x = 758,487,711,744
  5. Step 5: Solve for x
    x = 758,487,711,744/400,896
  6. Step 6: Final answer
    x = 1,891,981.24

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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.