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Finding the Third Proportional to 730,698.75 and 1,093,077

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Solution

The third proportional to 730,698.75 and 1,093,077 is: 1,635,170.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,698.75 : 1,093,077 = 1,093,077 : x
  2. Step 2: Convert to fraction form
    730,698.75/1,093,077 = 1,093,077/x
  3. Step 3: Cross multiply
    730,698.75x = 1,093,077 × 1,093,077
  4. Step 4: Simplify right side
    730,698.75x = 1,194,817,327,929
  5. Step 5: Solve for x
    x = 1,194,817,327,929/730,698.75
  6. Step 6: Final answer
    x = 1,635,170.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.