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Finding the Third Proportional to 728,796 and 1,597,992

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Solution

The third proportional to 728,796 and 1,597,992 is: 3,503,831.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,796 : 1,597,992 = 1,597,992 : x
  2. Step 2: Convert to fraction form
    728,796/1,597,992 = 1,597,992/x
  3. Step 3: Cross multiply
    728,796x = 1,597,992 × 1,597,992
  4. Step 4: Simplify right side
    728,796x = 2,553,578,432,064
  5. Step 5: Solve for x
    x = 2,553,578,432,064/728,796
  6. Step 6: Final answer
    x = 3,503,831.57

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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.