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Finding the Third Proportional to 730,694.25 and 1,093,071.38

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Solution

The third proportional to 730,694.25 and 1,093,071.38 is: 1,635,164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,694.25 : 1,093,071.38 = 1,093,071.38 : x
  2. Step 2: Convert to fraction form
    730,694.25/1,093,071.38 = 1,093,071.38/x
  3. Step 3: Cross multiply
    730,694.25x = 1,093,071.38 × 1,093,071.38
  4. Step 4: Simplify right side
    730,694.25x = 1,194,805,030,844.39
  5. Step 5: Solve for x
    x = 1,194,805,030,844.39/730,694.25
  6. Step 6: Final answer
    x = 1,635,164.13

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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.