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Finding the Third Proportional to 401,187,035.25 and 873,596,619

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Solution

The third proportional to 401,187,035.25 and 873,596,619 is: 1,902,282,441.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,187,035.25 : 873,596,619 = 873,596,619 : x
  2. Step 2: Convert to fraction form
    401,187,035.25/873,596,619 = 873,596,619/x
  3. Step 3: Cross multiply
    401,187,035.25x = 873,596,619 × 873,596,619
  4. Step 4: Simplify right side
    401,187,035.25x = 763,171,052,728,231,168
  5. Step 5: Solve for x
    x = 763,171,052,728,231,168/401,187,035.25
  6. Step 6: Final answer
    x = 1,902,282,441.04

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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.