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Finding the Third Proportional to 409,889,754 and 892,557,402.75

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Solution

The third proportional to 409,889,754 and 892,557,402.75 is: 1,943,592,659.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,889,754 : 892,557,402.75 = 892,557,402.75 : x
  2. Step 2: Convert to fraction form
    409,889,754/892,557,402.75 = 892,557,402.75/x
  3. Step 3: Cross multiply
    409,889,754x = 892,557,402.75 × 892,557,402.75
  4. Step 4: Simplify right side
    409,889,754x = 796,658,717,203,825,664
  5. Step 5: Solve for x
    x = 796,658,717,203,825,664/409,889,754
  6. Step 6: Final answer
    x = 1,943,592,659.81

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