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Finding the Third Proportional to 401,187,176 and 873,596,914

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Solution

The third proportional to 401,187,176 and 873,596,914 is: 1,902,283,058.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,187,176 : 873,596,914 = 873,596,914 : x
  2. Step 2: Convert to fraction form
    401,187,176/873,596,914 = 873,596,914/x
  3. Step 3: Cross multiply
    401,187,176x = 873,596,914 × 873,596,914
  4. Step 4: Simplify right side
    401,187,176x = 763,171,568,150,323,456
  5. Step 5: Solve for x
    x = 763,171,568,150,323,456/401,187,176
  6. Step 6: Final answer
    x = 1,902,283,058.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.