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Finding the Third Proportional to 797,992 and 1,706,576

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Solution

The third proportional to 797,992 and 1,706,576 is: 3,649,662.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,992 : 1,706,576 = 1,706,576 : x
  2. Step 2: Convert to fraction form
    797,992/1,706,576 = 1,706,576/x
  3. Step 3: Cross multiply
    797,992x = 1,706,576 × 1,706,576
  4. Step 4: Simplify right side
    797,992x = 2,912,401,643,776
  5. Step 5: Solve for x
    x = 2,912,401,643,776/797,992
  6. Step 6: Final answer
    x = 3,649,662.71

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.