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Finding the Third Proportional to 705,102.75 and 1,074,173.63

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Solution

The third proportional to 705,102.75 and 1,074,173.63 is: 1,636,426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,102.75 : 1,074,173.63 = 1,074,173.63 : x
  2. Step 2: Convert to fraction form
    705,102.75/1,074,173.63 = 1,074,173.63/x
  3. Step 3: Cross multiply
    705,102.75x = 1,074,173.63 × 1,074,173.63
  4. Step 4: Simplify right side
    705,102.75x = 1,153,848,976,645.64
  5. Step 5: Solve for x
    x = 1,153,848,976,645.64/705,102.75
  6. Step 6: Final answer
    x = 1,636,426.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.