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Finding the Third Proportional to 802,055 and 1,670,455

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Solution

The third proportional to 802,055 and 1,670,455 is: 3,479,087.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,055 : 1,670,455 = 1,670,455 : x
  2. Step 2: Convert to fraction form
    802,055/1,670,455 = 1,670,455/x
  3. Step 3: Cross multiply
    802,055x = 1,670,455 × 1,670,455
  4. Step 4: Simplify right side
    802,055x = 2,790,419,907,025
  5. Step 5: Solve for x
    x = 2,790,419,907,025/802,055
  6. Step 6: Final answer
    x = 3,479,087.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.