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Finding the Third Proportional to 819,193.50 and 1,282,250.25

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Solution

The third proportional to 819,193.50 and 1,282,250.25 is: 2,007,054.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,193.50 : 1,282,250.25 = 1,282,250.25 : x
  2. Step 2: Convert to fraction form
    819,193.50/1,282,250.25 = 1,282,250.25/x
  3. Step 3: Cross multiply
    819,193.50x = 1,282,250.25 × 1,282,250.25
  4. Step 4: Simplify right side
    819,193.50x = 1,644,165,703,625.06
  5. Step 5: Solve for x
    x = 1,644,165,703,625.06/819,193.50
  6. Step 6: Final answer
    x = 2,007,054.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.