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Finding the Third Proportional to 655,724.11 and 1,545,696.42

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Solution

The third proportional to 655,724.11 and 1,545,696.42 is: 3,643,571.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,724.11 : 1,545,696.42 = 1,545,696.42 : x
  2. Step 2: Convert to fraction form
    655,724.11/1,545,696.42 = 1,545,696.42/x
  3. Step 3: Cross multiply
    655,724.11x = 1,545,696.42 × 1,545,696.42
  4. Step 4: Simplify right side
    655,724.11x = 2,389,177,428,597.18
  5. Step 5: Solve for x
    x = 2,389,177,428,597.18/655,724.11
  6. Step 6: Final answer
    x = 3,643,571.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.