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Finding the Third Proportional to 839,975.06 and 1,291,833.56

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Solution

The third proportional to 839,975.06 and 1,291,833.56 is: 1,986,766.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,975.06 : 1,291,833.56 = 1,291,833.56 : x
  2. Step 2: Convert to fraction form
    839,975.06/1,291,833.56 = 1,291,833.56/x
  3. Step 3: Cross multiply
    839,975.06x = 1,291,833.56 × 1,291,833.56
  4. Step 4: Simplify right side
    839,975.06x = 1,668,833,953,201.44
  5. Step 5: Solve for x
    x = 1,668,833,953,201.44/839,975.06
  6. Step 6: Final answer
    x = 1,986,766.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.