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Finding the Third Proportional to 1,081,995.47 and 1,682,057.39

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Solution

The third proportional to 1,081,995.47 and 1,682,057.39 is: 2,614,906.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081,995.47 : 1,682,057.39 = 1,682,057.39 : x
  2. Step 2: Convert to fraction form
    1,081,995.47/1,682,057.39 = 1,682,057.39/x
  3. Step 3: Cross multiply
    1,081,995.47x = 1,682,057.39 × 1,682,057.39
  4. Step 4: Simplify right side
    1,081,995.47x = 2,829,317,065,356.18
  5. Step 5: Solve for x
    x = 2,829,317,065,356.18/1,081,995.47
  6. Step 6: Final answer
    x = 2,614,906.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.