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Finding the Third Proportional to 787,205.25 and 1,644,313.50

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Solution

The third proportional to 787,205.25 and 1,644,313.50 is: 3,434,640.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,205.25 : 1,644,313.50 = 1,644,313.50 : x
  2. Step 2: Convert to fraction form
    787,205.25/1,644,313.50 = 1,644,313.50/x
  3. Step 3: Cross multiply
    787,205.25x = 1,644,313.50 × 1,644,313.50
  4. Step 4: Simplify right side
    787,205.25x = 2,703,766,886,282.25
  5. Step 5: Solve for x
    x = 2,703,766,886,282.25/787,205.25
  6. Step 6: Final answer
    x = 3,434,640.31

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.