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Finding the Third Proportional to 401,715,885 and 870,468,993

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Solution

The third proportional to 401,715,885 and 870,468,993 is: 1,886,199,416.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,715,885 : 870,468,993 = 870,468,993 : x
  2. Step 2: Convert to fraction form
    401,715,885/870,468,993 = 870,468,993/x
  3. Step 3: Cross multiply
    401,715,885x = 870,468,993 × 870,468,993
  4. Step 4: Simplify right side
    401,715,885x = 757,716,267,774,434,048
  5. Step 5: Solve for x
    x = 757,716,267,774,434,048/401,715,885
  6. Step 6: Final answer
    x = 1,886,199,416.22

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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.