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Finding the Third Proportional to 797,966 and 1,706,524

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Solution

The third proportional to 797,966 and 1,706,524 is: 3,649,559.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,966 : 1,706,524 = 1,706,524 : x
  2. Step 2: Convert to fraction form
    797,966/1,706,524 = 1,706,524/x
  3. Step 3: Cross multiply
    797,966x = 1,706,524 × 1,706,524
  4. Step 4: Simplify right side
    797,966x = 2,912,224,162,576
  5. Step 5: Solve for x
    x = 2,912,224,162,576/797,966
  6. Step 6: Final answer
    x = 3,649,559.21

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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.