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Finding the Third Proportional to 791,538.75 and 1,226,400.75

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Solution

The third proportional to 791,538.75 and 1,226,400.75 is: 1,900,170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,538.75 : 1,226,400.75 = 1,226,400.75 : x
  2. Step 2: Convert to fraction form
    791,538.75/1,226,400.75 = 1,226,400.75/x
  3. Step 3: Cross multiply
    791,538.75x = 1,226,400.75 × 1,226,400.75
  4. Step 4: Simplify right side
    791,538.75x = 1,504,058,799,600.56
  5. Step 5: Solve for x
    x = 1,504,058,799,600.56/791,538.75
  6. Step 6: Final answer
    x = 1,900,170.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.