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Finding the Third Proportional to 756,838.69 and 1,261,352.25

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Solution

The third proportional to 756,838.69 and 1,261,352.25 is: 2,102,177.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,838.69 : 1,261,352.25 = 1,261,352.25 : x
  2. Step 2: Convert to fraction form
    756,838.69/1,261,352.25 = 1,261,352.25/x
  3. Step 3: Cross multiply
    756,838.69x = 1,261,352.25 × 1,261,352.25
  4. Step 4: Simplify right side
    756,838.69x = 1,591,009,498,580.06
  5. Step 5: Solve for x
    x = 1,591,009,498,580.06/756,838.69
  6. Step 6: Final answer
    x = 2,102,177.82

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.