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Finding the Third Proportional to 664,922.25 and 1,377,141.75

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Solution

The third proportional to 664,922.25 and 1,377,141.75 is: 2,852,242.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,922.25 : 1,377,141.75 = 1,377,141.75 : x
  2. Step 2: Convert to fraction form
    664,922.25/1,377,141.75 = 1,377,141.75/x
  3. Step 3: Cross multiply
    664,922.25x = 1,377,141.75 × 1,377,141.75
  4. Step 4: Simplify right side
    664,922.25x = 1,896,519,399,593.06
  5. Step 5: Solve for x
    x = 1,896,519,399,593.06/664,922.25
  6. Step 6: Final answer
    x = 2,852,242.35

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.