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Finding the Third Proportional to 858,696.19 and 1,288,153.13

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Solution

The third proportional to 858,696.19 and 1,288,153.13 is: 1,932,392.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,696.19 : 1,288,153.13 = 1,288,153.13 : x
  2. Step 2: Convert to fraction form
    858,696.19/1,288,153.13 = 1,288,153.13/x
  3. Step 3: Cross multiply
    858,696.19x = 1,288,153.13 × 1,288,153.13
  4. Step 4: Simplify right side
    858,696.19x = 1,659,338,473,447.27
  5. Step 5: Solve for x
    x = 1,659,338,473,447.27/858,696.19
  6. Step 6: Final answer
    x = 1,932,392.97

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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.