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Finding the Third Proportional to 729,435.19 and 1,171,997.25

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Solution

The third proportional to 729,435.19 and 1,171,997.25 is: 1,883,070.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,435.19 : 1,171,997.25 = 1,171,997.25 : x
  2. Step 2: Convert to fraction form
    729,435.19/1,171,997.25 = 1,171,997.25/x
  3. Step 3: Cross multiply
    729,435.19x = 1,171,997.25 × 1,171,997.25
  4. Step 4: Simplify right side
    729,435.19x = 1,373,577,554,007.56
  5. Step 5: Solve for x
    x = 1,373,577,554,007.56/729,435.19
  6. Step 6: Final answer
    x = 1,883,070.05

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.