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Finding the Third Proportional to 932,951.25 and 1,428,914.25

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Solution

The third proportional to 932,951.25 and 1,428,914.25 is: 2,188,534.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,951.25 : 1,428,914.25 = 1,428,914.25 : x
  2. Step 2: Convert to fraction form
    932,951.25/1,428,914.25 = 1,428,914.25/x
  3. Step 3: Cross multiply
    932,951.25x = 1,428,914.25 × 1,428,914.25
  4. Step 4: Simplify right side
    932,951.25x = 2,041,795,933,853.06
  5. Step 5: Solve for x
    x = 2,041,795,933,853.06/932,951.25
  6. Step 6: Final answer
    x = 2,188,534.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.