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Finding the Third Proportional to 792,978.75 and 1,186,004.25

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Solution

The third proportional to 792,978.75 and 1,186,004.25 is: 1,773,825.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,978.75 : 1,186,004.25 = 1,186,004.25 : x
  2. Step 2: Convert to fraction form
    792,978.75/1,186,004.25 = 1,186,004.25/x
  3. Step 3: Cross multiply
    792,978.75x = 1,186,004.25 × 1,186,004.25
  4. Step 4: Simplify right side
    792,978.75x = 1,406,606,081,018.06
  5. Step 5: Solve for x
    x = 1,406,606,081,018.06/792,978.75
  6. Step 6: Final answer
    x = 1,773,825.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.