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Finding the Third Proportional to 451,261.69 and 991,085.63

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Solution

The third proportional to 451,261.69 and 991,085.63 is: 2,176,676.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,261.69 : 991,085.63 = 991,085.63 : x
  2. Step 2: Convert to fraction form
    451,261.69/991,085.63 = 991,085.63/x
  3. Step 3: Cross multiply
    451,261.69x = 991,085.63 × 991,085.63
  4. Step 4: Simplify right side
    451,261.69x = 982,250,716,081.64
  5. Step 5: Solve for x
    x = 982,250,716,081.64/451,261.69
  6. Step 6: Final answer
    x = 2,176,676.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.