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Finding the Third Proportional to 1,161,546.75 and 1,749,349.13

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Solution

The third proportional to 1,161,546.75 and 1,749,349.13 is: 2,634,609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161,546.75 : 1,749,349.13 = 1,749,349.13 : x
  2. Step 2: Convert to fraction form
    1,161,546.75/1,749,349.13 = 1,749,349.13/x
  3. Step 3: Cross multiply
    1,161,546.75x = 1,749,349.13 × 1,749,349.13
  4. Step 4: Simplify right side
    1,161,546.75x = 3,060,222,361,138.27
  5. Step 5: Solve for x
    x = 3,060,222,361,138.27/1,161,546.75
  6. Step 6: Final answer
    x = 2,634,609.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.