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Finding the Third Proportional to 1,092,185,144 and 2,406,992,401

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Solution

The third proportional to 1,092,185,144 and 2,406,992,401 is: 5,304,606,504.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092,185,144 : 2,406,992,401 = 2,406,992,401 : x
  2. Step 2: Convert to fraction form
    1,092,185,144/2,406,992,401 = 2,406,992,401/x
  3. Step 3: Cross multiply
    1,092,185,144x = 2,406,992,401 × 2,406,992,401
  4. Step 4: Simplify right side
    1,092,185,144x = 5,793,612,418,471,744,512
  5. Step 5: Solve for x
    x = 5,793,612,418,471,744,512/1,092,185,144
  6. Step 6: Final answer
    x = 5,304,606,504.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.