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Finding the Third Proportional to 1,197,806.25 and 1,794,864

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Solution

The third proportional to 1,197,806.25 and 1,794,864 is: 2,689,530.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,806.25 : 1,794,864 = 1,794,864 : x
  2. Step 2: Convert to fraction form
    1,197,806.25/1,794,864 = 1,794,864/x
  3. Step 3: Cross multiply
    1,197,806.25x = 1,794,864 × 1,794,864
  4. Step 4: Simplify right side
    1,197,806.25x = 3,221,536,778,496
  5. Step 5: Solve for x
    x = 3,221,536,778,496/1,197,806.25
  6. Step 6: Final answer
    x = 2,689,530.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.