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Finding the Third Proportional to 792,971.25 and 1,185,993.75

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Solution

The third proportional to 792,971.25 and 1,185,993.75 is: 1,773,811.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,971.25 : 1,185,993.75 = 1,185,993.75 : x
  2. Step 2: Convert to fraction form
    792,971.25/1,185,993.75 = 1,185,993.75/x
  3. Step 3: Cross multiply
    792,971.25x = 1,185,993.75 × 1,185,993.75
  4. Step 4: Simplify right side
    792,971.25x = 1,406,581,175,039.06
  5. Step 5: Solve for x
    x = 1,406,581,175,039.06/792,971.25
  6. Step 6: Final answer
    x = 1,773,811.06

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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.