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Finding the Third Proportional to 748,143.37 and 1,160,811.47

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Solution

The third proportional to 748,143.37 and 1,160,811.47 is: 1,801,103.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,143.37 : 1,160,811.47 = 1,160,811.47 : x
  2. Step 2: Convert to fraction form
    748,143.37/1,160,811.47 = 1,160,811.47/x
  3. Step 3: Cross multiply
    748,143.37x = 1,160,811.47 × 1,160,811.47
  4. Step 4: Simplify right side
    748,143.37x = 1,347,483,279,584.85
  5. Step 5: Solve for x
    x = 1,347,483,279,584.85/748,143.37
  6. Step 6: Final answer
    x = 1,801,103.02

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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.