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Finding the Third Proportional to 601,470.75 and 1,252,701.75

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Solution

The third proportional to 601,470.75 and 1,252,701.75 is: 2,609,040.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,470.75 : 1,252,701.75 = 1,252,701.75 : x
  2. Step 2: Convert to fraction form
    601,470.75/1,252,701.75 = 1,252,701.75/x
  3. Step 3: Cross multiply
    601,470.75x = 1,252,701.75 × 1,252,701.75
  4. Step 4: Simplify right side
    601,470.75x = 1,569,261,674,453.06
  5. Step 5: Solve for x
    x = 1,569,261,674,453.06/601,470.75
  6. Step 6: Final answer
    x = 2,609,040.71

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.