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Finding the Third Proportional to 729,894.38 and 1,601,876.25

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Solution

The third proportional to 729,894.38 and 1,601,876.25 is: 3,515,587.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,894.38 : 1,601,876.25 = 1,601,876.25 : x
  2. Step 2: Convert to fraction form
    729,894.38/1,601,876.25 = 1,601,876.25/x
  3. Step 3: Cross multiply
    729,894.38x = 1,601,876.25 × 1,601,876.25
  4. Step 4: Simplify right side
    729,894.38x = 2,566,007,520,314.06
  5. Step 5: Solve for x
    x = 2,566,007,520,314.06/729,894.38
  6. Step 6: Final answer
    x = 3,515,587.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.