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Finding the Third Proportional to 777,534.75 and 1,217,091.75

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Solution

The third proportional to 777,534.75 and 1,217,091.75 is: 1,905,139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,534.75 : 1,217,091.75 = 1,217,091.75 : x
  2. Step 2: Convert to fraction form
    777,534.75/1,217,091.75 = 1,217,091.75/x
  3. Step 3: Cross multiply
    777,534.75x = 1,217,091.75 × 1,217,091.75
  4. Step 4: Simplify right side
    777,534.75x = 1,481,312,327,918.06
  5. Step 5: Solve for x
    x = 1,481,312,327,918.06/777,534.75
  6. Step 6: Final answer
    x = 1,905,139.71

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.