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Finding the Third Proportional to 388,122.75 and 906,585.75

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Solution

The third proportional to 388,122.75 and 906,585.75 is: 2,117,623.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,122.75 : 906,585.75 = 906,585.75 : x
  2. Step 2: Convert to fraction form
    388,122.75/906,585.75 = 906,585.75/x
  3. Step 3: Cross multiply
    388,122.75x = 906,585.75 × 906,585.75
  4. Step 4: Simplify right side
    388,122.75x = 821,897,722,103.06
  5. Step 5: Solve for x
    x = 821,897,722,103.06/388,122.75
  6. Step 6: Final answer
    x = 2,117,623.15

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.