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Finding the Third Proportional to 823,891.50 and 1,247,454

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Solution

The third proportional to 823,891.50 and 1,247,454 is: 1,888,769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,891.50 : 1,247,454 = 1,247,454 : x
  2. Step 2: Convert to fraction form
    823,891.50/1,247,454 = 1,247,454/x
  3. Step 3: Cross multiply
    823,891.50x = 1,247,454 × 1,247,454
  4. Step 4: Simplify right side
    823,891.50x = 1,556,141,482,116
  5. Step 5: Solve for x
    x = 1,556,141,482,116/823,891.50
  6. Step 6: Final answer
    x = 1,888,769.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.