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Finding the Third Proportional to 660,633.75 and 1,407,795.75

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Solution

The third proportional to 660,633.75 and 1,407,795.75 is: 2,999,981.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,633.75 : 1,407,795.75 = 1,407,795.75 : x
  2. Step 2: Convert to fraction form
    660,633.75/1,407,795.75 = 1,407,795.75/x
  3. Step 3: Cross multiply
    660,633.75x = 1,407,795.75 × 1,407,795.75
  4. Step 4: Simplify right side
    660,633.75x = 1,981,888,873,718.06
  5. Step 5: Solve for x
    x = 1,981,888,873,718.06/660,633.75
  6. Step 6: Final answer
    x = 2,999,981.27

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.