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Finding the Third Proportional to 776,804.50 and 1,661,546

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Solution

The third proportional to 776,804.50 and 1,661,546 is: 3,553,963.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,804.50 : 1,661,546 = 1,661,546 : x
  2. Step 2: Convert to fraction form
    776,804.50/1,661,546 = 1,661,546/x
  3. Step 3: Cross multiply
    776,804.50x = 1,661,546 × 1,661,546
  4. Step 4: Simplify right side
    776,804.50x = 2,760,735,110,116
  5. Step 5: Solve for x
    x = 2,760,735,110,116/776,804.50
  6. Step 6: Final answer
    x = 3,553,963.85

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Why These Related Problems?

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