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Finding the Third Proportional to 2,053,486.69 and 3,192,230.25

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Solution

The third proportional to 2,053,486.69 and 3,192,230.25 is: 4,962,454.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053,486.69 : 3,192,230.25 = 3,192,230.25 : x
  2. Step 2: Convert to fraction form
    2,053,486.69/3,192,230.25 = 3,192,230.25/x
  3. Step 3: Cross multiply
    2,053,486.69x = 3,192,230.25 × 3,192,230.25
  4. Step 4: Simplify right side
    2,053,486.69x = 10,190,333,969,015.06
  5. Step 5: Solve for x
    x = 10,190,333,969,015.06/2,053,486.69
  6. Step 6: Final answer
    x = 4,962,454.36

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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.